Mathematics and Computers in Simulation

Article	Citations
Honey Badger Algorithm: New metaheuristic algorithm for solving optimization problems	553
Application of the residue number system to reduce hardware costs of the convolutional neural network implementation	312
N-soliton solution and the Hirota condition of a (2+1)-dimensional com	133
Novel design of Morlet wavelet neural network for solving second order Lane–Emden equation	126
Gannet optimization algorithm : A new metaheuristic algorithm for solving engineering optimization problems	118
Exact solutions of the generalized multidimensional mathematical physics models via sub-equation method	118
Nonlinear dissipative slip flow of Jeffrey nanomaterial towards a curved surface with entropy generation and activation energy	109
Mathematical analysis of the global dynamics of a HTLV-I infection model, considering the role of cytotoxic T-lymphocytes	92
A new (3+1)-dimensional Kadomtsev–Petviashvili equation and its integrability, multiple-solitons, breathers and lump waves	91
Study on numerical solution of dispersive water wave phenomena by using a reliable modification of variational iteration algorithm	89
Heuristic computing technique for numerical solutions of nonlinear fourth order Emden–Fowler equation	88
Investigation of nanoparticles Cu, Ag and Fe3O4 on thermophoresis and viscous dissipation of MHD nanofluid over a stretching sheet in a porous regime: A numerical modeling	81
Pricing policies for dual-channel supply chain with green investment and sales effort under uncertain demand	77
Modeling of MHD fluid flow over an unsteady stretching sheet with thermal radiation, variable fluid properties and heat flux	76
Fractional-order bidirectional associate memory (BAM) neural networks with multiple delays: The case of Hopf bifurcation	75
Color multiple image encryption scheme based on 3D-chaotic maps	73
Evaluating the unsteady MHD micropolar fluid flow past stretching/shirking sheet with heat source and thermal radiation: Implementing fourth order predictor–corrector FDM	70
Neuro-swarm intelligent computing paradigm for nonlinear HIV infection model with CD4+ T-cells	69
Asymptotically stable high-order neutral cellular neural networks with proportional delays and	68
A novel image encryption algorithm based on SPWLCM and DNA coding	66
GEPSO: A new generalized particle swarm optimization algorithm	66
A case study of fractal-fractional tuberculosis model in China: Existence and stability theories along with numerical simulations	64
An efficient image encryption scheme based on chaotic and Deoxyribonucleic acid sequencing	62
Characteristics of thermophoresis and Brownian motion on radiative reactive micropolar fluid flow towards continuously moving flat plate: HAM solution	62
A chaotic strategy-based quadratic Opposition-Based Learning adaptive variable-speed whale optimization algorithm	61

Delay induced multiple stability switch and chaos in a predator–prey model with fear effect	59
M-lump solution, soliton solution and rational solution to a (3+1)-d	57
A note on the approximate controllability of Sobolev type fractional stochastic integro-differential delay inclusions with order 56
Nature-inspired approach: An enhanced whale optimization algorithm for global optimization	56
A delayed fractional order food chain model with fear effect and prey refuge	55
An artificial neural network-based forecasting model of energy-related time series for electrical grid management	54
A three-dimensional bit-level image encryption algorithm with Rubik’s cube method	53
Chaotic hunger games search optimization algorithm for global optimization and engineering problems	52
Stability analysis of Nicholson’s blowflies equation with two different delays	52
Improvement of heat transfer mechanism through a Maxwell fluid flow over a stretching sheet embedded in a porous medium and convectively heated	51
Dual-wave solutions for the quadratic–cubic conformable-Caputo time-fractional Klein–Fock–Gordon equation	50
Finite-time stability analysis of fractional-order memristive fuzzy cellular neural networks with time delay and leakage term	50
Using a genetic algorithm to fit parameters of a COVID-19 SEIR model for US states	50
The influence of multiplicative noise on the stochastic exact solutions of the Nizhnik–Novikov–Veselov system	49
Long time numerical behaviors of fractional pantograph equations	48
Variable thermal conductivity and viscosity effects on non-Newtonian fluids flow through a vertical porous plate under Soret-Dufour influence	48
Homotopy perturbation method for strongly nonlinear oscillators	47
Threshold dynamics and density function of a stochastic epidemic model with media coverage and mean-reverting Ornstein–Uhlenbeck process	47
Global asymptotic stability of stochastic complex-valued neural networks with probabilistic time-varying delays	47
On group analysis of the time fractional extended (2+1)-dimensional Zakharov–Kuznetsov equation in quantum magneto-plasmas	46
Comparison of echo state network and feed-forward neural networks in electrical load forecasting for demand response programs	46
Secure image encryption scheme based on a new robust chaotic map and strong S-box	44
A parallel image encryption algorithm using intra bitplane scrambling	43
Finite difference method for solving fractional differential equations at irregular meshes	43
On the fluid flow and heat transfer between a cone and a disk both stationary or rotating	43
Design of evolutionary optimized finite difference based numerical computing for dust density model of nonlinear Van-der Pol Mathieu’s oscillatory systems	42
Monotonicity theorem for the uncertain fractional differential equation and application to uncertain financial market	42
A robust simulation-optimization approach for pre-disaster multi-period location–allocation–inventory planning	42
Numerical simulation for bioconvection effects on MHD flow of Oldroyd-B nanofluids in a rotating frame stretching horizontally	42
Hopf bifurcation, chaos control and synchronization of a chaotic fractional-order system with chaos entanglement function	42
Global exponential synchronization of high-order quaternion Hopfield neural networks with unbounded distributed delays and time-varying discrete delays	41
Numerical investigation of MHD radiative heat and mass transfer of nanofluid flow towards a vertical wavy surface with viscous dissipation and Joule heating effects using Keller-box method	41
Unsteady MHD radiative-dissipative flow of Cu-Al2	41
Haar wavelet quasilinearization method for numerical solution of Emden–Fowler type equations	40
Optimal pricing policy in a three-layer dual-channel supply chain under government subsidy in green manufacturing	40
A delay nonautonomous model for the impacts of fear and refuge in a three species food chain model with hunting cooperation	40
Stability switching and chaos in a multiple delayed prey–predator model with fear effect and anti-predator behavior	40
Analytical solution and numerical simulation of the generalized Levèque equation to predict the thermal boundary layer	39
A computational approach for boundary layer flow and heat transfer of fractional Maxwell fluid	38
Hybrid control design for Mittag-Leffler projective synchronization on FOQVNNs with multiple mixed delays and impulsive effects	38
A novel version of slime mould algorithm for global optimization and real world engineering problems	37
A dynamic adaptive firefly algorithm with globally orientation	37
A cluster of 1D quadratic chaotic map and its applications in image encryption	37
An effective computational method to deal with a time-fractional nonlinear water wave equation in the Caputo sense	37
Gas turbine monitoring using neural network dynamic nonlinear autoregressive with external exogenous input modelling	37
Analyzing the interaction of hybrid base liquid C2H6O2–H2O with hybrid nano-material Ag–MoS2 for unsteady rotational flow referred to an elongated surface using modified Buongiorno’s model: FEM simula	37
Chaos, Hopf bifurcation and control of a fractional-order delay financial system	37
Neuro-evolution computing for nonlinear multi-singular system of third order Emden–Fowler equation	36
An enhanced chimp optimization algorithm for optimal degree reduction of Said–Ball curves	35
Role of fear in predator–prey system with intraspecific competition	35

COVID-19 pandemic and chaos theory	35
Dealing with multi-modality using synthesis of Moth-flame optimizer with sine cosine mechanisms	35
A powerful approach to study the new modified coupled Korteweg–de Vries system	35
Prescribed-time synchronization in networks of piecewise smooth systems via a nonlinear dynamic event-triggered control strategy	35
Path planning for autonomous underwater vehicle based on an enhanced water wave optimization algorithm	34
Impact of fear in a delay-induced predator–prey system with intraspecific competition within predator species	34
Robust stability of uncertain stochastic complex-valued neural networks with additive time-varying delays	34
Collocation methods based on Gegenbauer and Bernoulli wavelets for solving neutral delay differential equations	34
Dynamics of a Leslie–Gower predator–prey model with Holling type II functional response, Allee effect and a generalist predator	33
Golden eagle optimizer with double learning strategies for 3D path planning of UAV in power inspection	33
Local thermal non-equilibrium (LTNE) effects on thermal-free convection in a nanofluid-saturated horizontal elliptical non-Darcian porous annulus	33
FEM solution to quadratic convective and radiative flow of Ag-MgO/H2O hybrid nanofluid over a rotating cone with Hall current: Optimization using Response Surface Methodology	32
Impact of optimal vaccination and social distancing on COVID-19 pandemic	32
Pattern formation induced by fractional cross-diffusion in a 3-species food chain model with harvesting	32
Bioconvective chemically reactive entropy optimized Cross-nano-material conveying oxytactic microorganisms over a flexible cylinder with Lorentz force and Arrhenius kinetics	32
Human urbanization algorithm: A novel metaheuristic approach	32
Adaptive levy-assisted salp swarm algorithm: Analysis and optimization case studies	32
Mathematical modeling, analysis and numerical simulation of HIV: The influence of stochastic environmental fluctuations on dynamics	32
A simulation–optimization model for solving flexible flow shop scheduling problems with rework and transportation	32
Quantum-like mutation-induced dragonfly-inspired optimization approach	31
Insights into the dynamics of blood conveying gold nanoparticles on a curved surface when suction, thermal radiation, and Lorentz force are significant: The case of Non-Newtonian Williamson fluid	31
An interpretable model for short term traffic flow prediction	31
Brownian motion and thermophoresis behavior on micro-polar nano-fluid—A numerical outlook	31
Numerical investigation of heat transport in Alumina–Silica hybrid nanofluid flow with modeling and simulation	31
Robust cluster consensus of general fractional-order nonlinear multi agent systems via adaptive sliding mode controller	31
The damping Helmholtz–Rayleigh–Duffing oscillator with the non-perturbative approach	31
Stability on positive pseudo almost periodic solutions of HPDCNNs incorporating D	31
Entropy analysis and nanofluid past a double stretchable spinning disk using Homotopy Analysis Method	30
Orchard Algorithm (OA): A new meta-heuristic algorithm for solving discrete and continuous optimization problems	30
Trees Social Relations Optimization Algorithm: A new Swarm-Based metaheuristic technique to solve continuous and discrete optimization problems	30
Signal recovery with convex constrained nonlinear monotone equations through conjugate gradient hybrid approach	29
Finite-time and fixed-time bipartite synchronization of complex networks with signed graphs	29
Passive vehicle suspension system optimization using Harris Hawk Optimization algorithm	29
Design of evolutionary finite difference solver for numerical treatment of computer virus propagation with countermeasures model	28
SIR epidemic model of childhood diseases through fractional operators with Mittag-Leffler and exponential kernels	28
Dynamic analysis and image encryption application of a sinusoidal-polynomial composite chaotic system	28
Periodic dynamics of rubella epidemic under standard and fractional Caputo operator with real data from Pakistan	28
Studies of different types of bifurcations analyses of an imprecise two species food chain model with fear effect and non-linear harvesting	28
Integrated intelligence of neuro-evolution with sequential quadratic programming for second-order Lane–Emden pantograph models	28
Existence, uniqueness and global stability of Clifford-valued neutral-type neural networks with time delays	27
An efficient operation matrix method for solving fractal–fractional differential equations with generalized Caputo-type fractional–fractal derivative	27
A novel spectral Galerkin/Petrov–Galerkin algorithm for the multi-dimensional space–time fractional advection–diffusion–reaction equations with nonsmooth solutions	27
Stability analysis for BAM quaternion-valued inertial neural networks with time delay via nonlinear measure approach	26
Mathematical modelling of COVID-19: A case study of Italy	26
A fractal–fractional-order modified Predator–Prey mathematical model with immigrations	26
The radial basis function differential quadrature method with ghost points	25
An improved adaptive fractional-order fast integral terminal sliding mode control for distributed quadrotor	25
Solving fractional pantograph delay equations by an effective computational method	25
Aphid–Ant Mutualism: A novel nature-inspired​ metaheuristic algorithm for solving optimization problems	25
A hybrid conjugate gradient based approach for solving unconstrained optimization and motion control problems	25
Mixed H∞	25
Finite-time event-triggered approach for recurrent neural networks with leakage term and its application	25
Robust zeroing neural network for fixed-time kinematic control of wheeled mobile robot in noise-polluted environment	25
A locally stabilized radial basis function partition of unity technique for the sine–Gordon system in nonlinear optics	25
A numerical model coupling phase transformation to predict microstructure evolution and residual stress during quenching of 1045 steel	24
Symmetry reductions, generalized solutions and dynamics of wave profiles for the (2+1)-dimensional system of Broer–Kaup–Kupershmidt (BKK) equations	24
Cryptanalysis of hybrid secure image encryption based on Julia set fractals and three-dimensional Lorenz chaotic map	24
Soliton solutions of the resonant nonlinear Schrödinger equation using modified auxiliary equation method with three different nonlinearities	24
Function perturbation impact on stability in distribution of probabilistic Boolean networks	24
Computational approach based on wavelets for financial mathematical model governed by distributed order fractional differential equation	24
Multiple-order line rogue wave solutions of extended Kadomtsev–Petviashvili equation	24
Time dependent non-Newtonian nano-fluid (blood) flow in w-shape stenosed channel; with curvature effects	23
Mathematical analysis of an extended SEIR model of COVID-19 using the ABC-fractional operator	23
A positive and elementary stable nonstandard explicit scheme for a mathematical model of the influenza disease	23
Stability and stabilization analysis of nonlinear time-delay systems with randomly occurring controller gain fluctuation	23
A novel improved whale optimization algorithm for optimization problems with multi-strategy and hybrid algorithm	22
The relationship between electricity consumption, peak load and GDP in Saudi Arabia: A VAR analysis	22
A generalized finite difference method for solving elliptic interface problems	22
A fuzzy neural network-based fractional-order Lyapunov-based robust control strategy for exoskeleton robots: Application in upper-limb rehabilitation	22
Bioconvection: Significance of mixed convection and mhd on dynamics of Casson nanofluid in the stagnation point of rotating sphere via finite element simulation	22
Stability and bifurcation analysis of a fractional predator–prey model involving two nonidentical delays	22
Parameter optimization of software reliability models using improved differential evolution algorithm	22
Exponential stability of discrete-time uncertain neural networks with multiple time-varying leakage delays	22
Numerical study on the combined effects of Brownian motion and thermophoresis on an unsteady magnetohydrodynamics nanofluid boundary layer flow	22
Optimal control problem of an SIR reaction–diffusion model with inequality constraints	22
Integrated electro-thermal model for pouch lithium ion batteries	22
Evaluation of thermal cracks on fire exposed concrete structures using Ripplet​ transform	22
Interplay between epidemic and information spreading on multiplex networks	22
Advance image encryption technique utilizing compression, dynamical system and S-boxes	22
Stochastic behavior of exchange rate on an international supply chain under random energy price	22

Route optimization in township logistics distribution considering customer satisfaction based on adaptive genetic algorithm	21
Passivity based sliding mode control and synchronization of a perturbed uncertain unified chaotic system	21
System identification and control design of a nonlinear continuously stirred tank reactor	21
A new approach to the numerical solution of Fredholm integral equations using least squares-support vector regression	21
Intelligent controller for nonholonomic wheeled mobile robot: A fuzzy path following combination	21
Solving nonlinear systems and unconstrained optimization problems by hybridizing whale optimization algorithm and flower pollination algorithm	21
Exploring the behavior of malware propagation on mobile wireless sensor networks: Stability and control analysis	21
Quadratic interpolation boosted black widow spider-inspired optimization algorithm with wavelet mutation	20
A loss-averse retailer–supplier supply chain model under trade credit in a supplier-Stackelberg game	20
A 2nd-order ADI finite difference method for a 2D fractional Black–Scholes equation governing European two asset option pricing	20
Study of ferrofluid flow in a rotating system through mathematical modeling	20
Shape characterization methods of irregular cavity using Fourier analysis in tunnel	20
Stability analysis and highly accurate numerical approximation of Fisher’s equations using pseudospectral method	20
Homotopy perturbation method with rank upgrading technique for the superior nonlinear oscillation	20
Legendre wavelet based numerical solution of variable latent heat moving boundary problem	20
Higher order Haar wavelet method integrated with strang splitting for solving regularized long wave equation	20
New results on exponential input-to-state stability analysis of memristor based complex-valued inertial neural networks with proportional and distributed delays	20
A new operational matrix based on Müntz–Legendre polynomials for solving distributed order fractional differential equations	20
Application of modified extended tanh method in solving fractional order coupled wave equations	20
Fast high-order compact difference scheme for the nonlinear distributed-order fractional Sobolev model appearing in porous media	20
Enhanced master–slave synchronization criteria for chaotic Lur’e systems based on time-delayed feedback control	20
Optimized profitability of LFP and NMC Li-ion batteries in residential PV applications	20
Dynamics of a ratio-dependent Leslie–Gower predator–prey model with Allee effect and fear effect	20
A generalized payment policy for deteriorating items when demand depends on price, stock, and advertisement under carbon tax regulations	20
Modeling and simulation of micro-rotation and spin gradient viscosity for ferromagnetic hybrid (Manganese Zinc Ferrite, Nickle Zinc Ferrite) nanofluids	19
Robust numerical method for singularly perturbed semilinear parabolic differential difference equations	19
Longitudinal strain waves propagating in an infinitely long cylindrical rod composed of generally incompressible materials and its Jacobi elliptic function solutions	19
Memory sampled data control for switched-type neural networks and its application in image secure communications	19
Modelling of tree fires and fires transitioning from the forest floor to the canopy with a physics-based model	19
Ultrafast charging station for electrical vehicles: Dynamic modelling, design and control strategy	19
Numerical solution of two-dimensional fractional-order reaction advection sub-diffusion equation with finite-difference Fibonacci collocation method	19
A novel reinforcement learning based tuna swarm optimization algorithm for autonomous underwater vehicle path planning	19
Simplifying the variational iteration method: A new approach to obtain the Lagrange multiplier	19
Finite-time stability criteria of linear system with non-differentiable time-varying delay via new integral inequality	19
Lattice Boltzmann simulation of natural convection in a square enclosure with discrete heating	18
L1/LDG method for the generalized time-fractional Burgers equation	18
Analytic approximate solutions of the cubic–quintic Duffing–van​ der Pol equation with two-external periodic forcing terms: Stability analysis	18
Aspects of thermal diffusivity and melting phenomenon in Carreau nanofluid flow confined by nonlinear stretching cylinder with convective Marangoni boundary constraints	18
Improved salp swarm algorithm combined with chaos	18
Maximal reproduction number estimation and identification of transmission rate from the first inflection point of new infectious cases waves: COVID-19 outbreak example	18
Inverse algorithm for Streeter–Phelps equation in water pollution control problem	18
Chebyshev spectral method for solving fuzzy fractional Fredholm–Volterra integro-differential equation	18
Dual-channel supply chain coordination considering targeted capacity allocation under uncertainty	18
Barycentric interpolation collocation algorithm to solve fractional differential equations	18
Stable propagation of optical solitons for nonlinear Schrödinger equation with dispersion and self phase modulation	18
Design of continuous-time model reference adaptive and super-twisting sliding mode controller	18
Compromising with corrector step of SIMPLE Algorithm	18
Highly efficient approach to numerical solutions of two different forms of the modified Kawahara equation via contribution of two effective methods	18
Global synchronization of uncertain fractional-order BAM neural networks with time delay via improved fractional-order integral inequality	18
SEIR model with unreported infected population and dynamic parameters for the spread of COVID-19	18
Two-grid methods for nonlinear time fractional diffusion equations by L	17
Virus dynamic behavior of a stochastic HIV/AIDS infection model including two kinds of target cell infections and CTL immune responses	17
Influence of mixed convection nanofluid flow over a rotating sphere in the presence of diffusion of liquid hydrogen and ammonia	17
Stationary distribution and density function analysis of a stochastic epidemic HBV model	17
Role of Allee effect in prey and hunting cooperation in a generalist predator	17
A novel varistructure grey forecasting model with speed adaptation and its application	17
New results on dynamics of neutral type HCNNs with proportional delays	17
Mathematical analysis of stochastic epidemic model of MERS-corona & application of ergodic theory	17
Application of Biomagnetic Fluid Dynamics modeling for simulation of flow with magnetic particles and variable fluid properties over a stretching cylinder	17
The solution of Klein–Gordon equation by using modified Adomian decomposition method	17
Global asymptotic stability, extinction and ergodic stationary distribution in a stochastic model for dual variants of SARS-CoV-2	17
A validated dynamical model of a kW-class Vanadium Redox Flow Battery	17
On three types of soft fuzzy coverings based rough sets	17
Input-to-state stability of stochastic Markovian jump genetic regulatory networks	17
A splitting method to solve a single nonlinear equation with derivative-free iterative schemes	17
A new computational technique for the analytic treatment of time-fractional Emden–Fowler equations	17
Interval estimation of multicomponent stress–strength reliability based on inverse Weibull distribution	16
A co-infection model on TB - COVID-19 with optimal control and sensitivity analysis	16
Dynamics of nonlinear cantilever piezoelectric–mechanical system: An intelligent computational approach	16
An algorithm for single- and multiple-runway aircraft landing problem	16
Robust adaptive backstepping control of uncertain fractional-order nonlinear systems with input time delay	16
Inertial extragradient type method for mixed variational inequalities without monotonicity	16
The Kansa RBF method with auxiliary boundary centres for fourth order boundary value problems	16
The Karush–Kuhn–Tucker (KKT) optimality conditions for fuzzy-valued fractional optimization problems	16
Numerical computation of magnetized bioconvection nanofluid flow with temperature-dependent viscosity and Arrhenius kinetic	16
Robust measurement fusion steady-state estimator design for multisensor networked systems with random two-step transmission delays and missing measurements	16
Study on the dynamics of a nonlinear dispersion model in both 1D and 2D based on the fourth-order compact conservative difference scheme	16
Surrogate parametric metamodel based on Optimal Transport	16
Non-fragileL	16
A high order method for pricing of financial derivatives using Radial Basis Function generated Finite Differences	16
Shifted Legendre polynomials algorithm used for the numerical analysis of viscoelastic plate with a fractional order model	16
Dynamical study of a novel 4D hyperchaotic system: An integer and fractional order analysis	15
A comparison study of two DC microgrid controls for a fast and stable DC bus voltage	15
A transformed L1 method for so	15
Robust parameter estimation of a PEMFC via optimization based on probabilistic model building	15
Integration of genetic algorithm tuned adaptive fading memory Kalman filter with model predictive controller for active fault-tolerant control of cement kiln under sensor faults with inaccurate noise	15
Intelligent neuro-computing for entropy generated Darcy–Forchheimer​ mixed convective fluid flow	15
S-asymptotically periodic fractional functional differential equati	15
Quasi-synchronization analysis for fractional-order delayed complex dynamical networks	15
Fuzzy failure mode and effect analysis application to reduce risk level in a ready-mixed concrete plant: A fuzzy rule based system modelling approach	15
Analysis of exact solution of stochastic sex-structured HIV/AIDS epidemic model with effect of screening of infectives	15
Novel patterns in a class of fractional reaction–diffusion models with the Riesz fractional derivative	15
FPGA based effective agriculture productivity prediction system using fuzzy support vector machine	15
Research on customer opinion summarization using topic mining and deep neural network	15
Mathematical analysis of the impact of the media coverage in mitigating the outbreak of COVID-19	15