International Journal of Computer Mathematics

Article	Citations
A study on mild solutions for multi-term time fractional measure differential equations	30
Convergence and stability of modified partially truncated Euler-Maruyama method for stochastic differential equations with piecewise continuous arguments	30
Fourth-order exponential time differencing Runge–Kutta scheme and local meshless method to investigate unsteady diffusion–convection problems of anisotropic functionally graded materials	28
Parameter estimation in models generated by SDEs with symmetric alpha-stable noise	22
Analysis of SLBPS node-based model by Schur complement technique	20
Maximum bound principle preserving nonuniform L1 scheme for space–time fractional Allen–Cahn equation	17
An optimization method for solving a general class of the inverse system of nonlinear fractional order PDEs	16
An efficient off-step spline algorithm for wave simulation of nonlinear Kuramoto–Sivashinsky and Korteweg-de Vries equations	16
A high resolution Legendre wavelet method for sub-diffusion problems on a star-shaped connected graph	15
New three-term conjugate gradient algorithm for solving monotone nonlinear equations and signal recovery problems	15
An accurate kernel functions-based method for coupled advection-diffusion-reaction models under Neumann, periodic, and no flux conditions	14
Analyzing the HIV infection dynamics: a numerical study of mathematical model,incorporating the Atangana-Baleanu fractional operator by using the Sumudu transform method	12
Analysis of a stochastic model for a prey–predator system with an indirect effect	12
Numerical simulation of a fractional Davey–Stewartson model via a conservative scheme: preservation of mass, energy and momenta	11
A stable pressure-correction MAC scheme for the fluid-Poroelastic material interaction problem	11
Approximating solutions of the generalized modification of the system of equilibrium problems and fixed point problem of a nonexpansive mapping	11
Mathematical and numerical simulation of a nonlinear thermoelastic system	10
On an inversion-free algorithm for the nonlinear matrix problem Xα+A∗X−βA+B∗X−γB=I,	10
The scaled Laguerre method for solving nonlinear optimal control problems with Volterra integral equations over a large time interval	10
Building erudition in the wound healing process: an inflammation model analysis	10
Series solution and Chebyshev collocation method for the initial value problem of Emden-Fowler equation	9
Convergence and stability of split-step θ methods for stochastic variable delay differential equations	9
Forward starting options pricing under a regime-switching jump-diffusion model with Wishart stochastic volatility and stochastic interest rate	9
A compact direct RBF-PU method for nonlinear volterra integro-differential equations with tempered kernels	9
Moore-Gibson-Thompson thermoelasticity with second gradient	9

Borel control and efficient numerical techniques to solve the Allen–Cahn equation governed by temporal multiplicative noise	8
Meshless method and shifted Chebyshev polynomials for solving a class of VIEs of the third kind	8
Euler–Maruyama methods for Caputo tempered fractional stochastic differential equations	8
Uniform error bound of an explicit exponential wave integrator Fourier pseudo-spectral method for the long-time dynamics of the nonlinear Schrödinger equation with wave operator	8
Correction	8
Stability robust for fractional generalized multi-dimensional state–space models	8
Smoothing techniques in solving non-Lipschitz absolute value equations	8
Accelerated computations of sensitivities for xVA*	7
Euler wavelets operational matrix of integration and its application in the calculus of variations	7
A numerical method based on the piecewise Chebyshev cardinal functions for a class of third-kind nonlinear fractional integro-differential equations	7
Exploring the bifurcation analysis, chaotic dynamics and noise-induce stochastic fluctuations in tumour microenvironment	7
A novel mixed spectral approximation for fourth-order problems with Neumann boundary conditions	7
On the numerical solution of weakly singular integral equations of the first kind using a regularized projection method	7
The method of fundamental solutions for solving direct and inverse Signorini problems in elasticity	7
Application-oriented numerical computation and optimization–a celebration of 60 years of the IJCM	7
Quadratic immersed finite element approximation of elliptic interface problem in circular and spherical domains	7
Numerical strategies for recursive least squares solutions to the matrix equation AX = B	6
A meshless quasi-interpolation method for solving hyperbolic conservation laws based on the essentially non-oscillatory reconstruction	6
The robust numerical schemes for two-dimensional elliptical singularly perturbed problems with space shifts	6
On sparse spectral Jacobi method for highly oscillatory integrals	6
Projection and modified projection methods for nonlinear Hammerstein integral equations on the real line using Hermite polynomials	6
Analysis of three finite element iterative methods for the stationary magneto-micropolar equations	6
Existence, uniqueness and stability of semilinear nonautonomous impulsive systems on time scales	6
Fractional Chebyshev cardinal wavelets: application for fractional quadratic integro-differential equations	5
A single timescale stochastic quasi-Newton method for stochastic optimization	5
A decoupled finite element algorithm for multi-layer mixed-dimensional model in porous media with a fault and surrounding damage zones	5
HTGAN: heavy-tail GAN for multivariate dependent extremes via latent-dimensional control	5
Stability of the analytic solution and the partially truncated Euler–Maruyama method for a class of stochastic Volterra integro-differential equations with non-globally Lipschitz continuous coefficien	5
The development and analysis of a mesh-free technique for the solution of the heat conduction problems of the two-dimensional layered materials	5
Numerical simulation of high-dimensional two-component reaction–diffusion systems with fractional derivatives	5
Construction of new travelling wave solutions and bifurcation analysis for the (2 + 1)-dimensional extended KP-BO equation utilizing the improved modified extended tanh-function method	5
A fast third order algorithm for two dimensional inhomogeneous fractional parabolic partial differential equations	5
Modified inertial extragradient methods for finding minimum-norm solution of the variational inequality problem with applications to optimal control problem	5
A space-time Galerkin Müntz spectral method for the time fractional Fokker–Planck equation	5
Non-autonomous chemostat models with non-monotonic growth	5
Truncated Euler–Maruyama method for stochastic differential equations driven by fractional Brownian motion with super-linear drift coefficient	5
Computationally efficient techniques for spatial regression with differential regularization	5
A nonmonotone adaptive trust region technique with a forgetting factor	5
B-spline wavelets series solution for the class of singular IVPs of fourth-order Emden–Fowler equations	5
Existence and blow up time estimate for a nonlinear Cauchy problem with variable exponents: theory and numerics	5
An investigation of an accurate numerical method for solving nonlinear physiological models using Chebyshev-based quasilinearization	4
Pseudo S-asymptotically ω -antiperiodic solutions for high-order Hopfield neural networks	4
A moving mesh method for quenching problem	4
A Bayesian regularization radial basis neural network novel procedure for the fractional economic and environmental system	4
H 1 -norm error estimate of a compact ADI finite difference scheme for the 2 D multi-term time-	4
An analysis on the time optimal control results for Hilfer fractional neutral stochastic integro-differential inclusions with Clarke's subdifferential type	4
The measure pseudo almost-periodicty and automorphy in HOHNNs with time-varying delays	4
A modified extended Fletcher–Reeves conjugate gradient method with an application in image restoration	4
FDM-PINN: Physics-informed neural network based on fictitious domain method	4
Efficient pricing and calibration of high-dimensional basket options	4

Symmetries and solutions for the inviscid oceanic Rossby wave equation	4
Approximations of Caputo fractional order derivatives by ψ -Bernstein–Kantorovich operators and simulations on real-world datasets	4
A convex combination-based derivative-free projection algorithm for finding solutions of constrained nonlinear equations with signal recovery applications	4
Finite difference approximation of time-fractional advection-diffusion equation on a metric star graph	4
A new options pricing method: semi-stochastic kernel regression method with constraints	4
A descent hybridization of the Polak–Ribière–Polyak and Fletcher–Reeves conjugate gradient methods with applications to nonnegative matrix factorization and compressive sensing	4
Numerical simulation and machine learning approach of Eyring-Powell dusty hybrid nanofluid flow of solar thermal applications	4
A computational method for the singularly perturbed delay pseudo-parabolic differential equations on adaptive mesh	4
Numerical discretization of the Navier–Stokes equations with power-law stick-slip boundary condition	4
The majorization minimization algorithm for solving nonconvex generalized Nash equilibrium problems	4
A random mathematical model to describe the antibiotic resistance depending on the antibiotic consumption: the Acinetobacter baumannii colistin-resistant	3
Numerical method for two-dimensional linearly elastic clamped plate model	3
Analysis of a robust implicit scheme for space–time fractional stochastic nonlinear diffusion wave model	3
A fast compact finite difference scheme for the fourth-order diffusion-wave equation	3
A novel approach based on mixed exponential compact finite difference and OHA methods for solving a class of nonlinear singular boundary value problems	3
Optical solutions to the extended (3+1)-dimensional cubic-quintic nonlinear conformable Schrödinger equation via two effective algorithms	3
A numerical optimization scheme for solving systems of fractional-order differential equations	3
A second order difference method combined with time two-grid algorithm for two-dimensional time-fractional Fisher equation	3
A compact ADI difference scheme for a 2D multiterm time-fractional convection diffusion equation subjected to weakly singular solution	3
The fractional stochastic Black-Scholes equation versus artificial neural networks: a comparative study of option pricing on the masi index	3
Fractional second linear multistep methods: the explicit forms for solving fractional differential equations and stability analysis	3
A priori mesh grading in collocation solution of noncompact Volterra integral equations with diagonal singularity	3
RETRACTED ARTICLE: Mathematical techniques and applications of linear differential equation	3
Modelling tumour micro-scale dynamics via virtual element methods on polygonized square and disk domains	3
Parameter regulation and interaction trajectory of the (3+1)-dimensional nonlinear evolution equations	3
Nonlinearly preconditioned semismooth Newton algorithms for nonlinear nonsmooth systems	3
Numerical solution and analysis of extended Fisher–Kolmogorov equation using an improved collocation algorithm	3
Robust finite-time non-fragile memory feedback control for uncertain systems with external disturbance	3
A neural network optimization scheme for fractional economic and environmental mathematical model	3
Fast compact difference schemes with temporally graded meshes for the high-dimensional time-fractional subdiffusion equation	3
A new class of positive linear operators and their improvement: theory and numerical experiments	3
A two-grid virtual element method for nonlinear variable-order time-fractional diffusion equation on polygonal meshes	3
Hermite-type collocation methods for volterra integral equations with weakly singular highly oscillatory Fourier kernels	3
Hall-influenced 3D rotating flow of MHD ([GO-MoS 2 /Na-Alg] h ) hybrid nanofluid over an expanding	3
Numerical analysis of a second-order method for a nonlinear diffusive SIR epidemic model with a saturated incidence rate in a heterogeneous environment	3
Regularized moving least squares meshless method for solving three-dimensional Fredholm integral equations on 3D irregular domain	3
A convergent numerical scheme to a McKendrick–von Foerster equation with diffusion	3
Theoretical analysis of second-order modified upwind conservative characteristic finite difference for advection diffusion equations	3
Generalized multistep Steffensen iterative method. Solving the model of a photomultiplier device	3
Computing p th root of a transition matrix with a deep unsupervised learning approach	3
Kink, kink-lump, kink-breather and rough wave soliton solutions of the (3 + 1)-dimensional space-time fractional Jimbo-Miwa equation	3
Two-step Runge–Kutta methods for Volterra integro-differential equations	3
Convergence analysis for a time-fractional diffusion-wave model with distributed order involving Riesz space-fractional derivatives using a fourth-order fractional-compact difference operator	3
An inertial iterative method for common solution of a pair of variational inequality problems	3
A novel semi-analytic algorithm for evaluation of nearly singular integrals in boundary element analysis	3
Maximum likelihood estimation for a stochastic SEIR system with a COVID-19 application	3
An accurate and unconditionally stable cubic B-splines method for the time-fractional KdV–Burgers’ equation: comparative analysis with existing schemes	3
Strong convergence order and stochastic C-stability of the projected Milstein method for stochastic delay differential equations with non-globally Lipschitz continuous coefficients	3
Global observability for a class of ψ -Riemann-Liouville time-fractional systems of order from one to two	3
Solving time-fractional inverse source problems using topological gradient methods	3
A maximum bound principle preserving and energy-stable second-order Leap-Frog finite difference scheme for the Allen–Cahn equation with a general mobility	2
The efficient element-free Galerkin method for 3D variable wave number Helmholtz equations	2
Numerical method for solving the fractional evolutionary model of bi-flux diffusion processes	2
Laplace based physical informed neural network for the time-fractional partial differential equations	2
Numerical analysis of singularly perturbed parabolic reaction diffusion differential difference equations	2
Studying a cylindrical moving boundary problem in ductal carcinoma in situ	2
Exact simulation of the 3/2 stochastic volatility model with stochastic jump intensity	2
Finite-time guaranteed cost control for stochastic nonlinear switched systems with time-varying delays and reaction-diffusion	2
Efficient parallel Monte-Carlo techniques for pricing American options including counterparty credit risk	2
A new high-accuracy difference method for nonhomogeneous time-fractional Schrödinger equation	2
A parallel high-order accuracy algorithm for the Helmholtz equations	2
A novel second-order nonstandard finite difference method preserving dynamical properties of a general single-species model	2
A new approach on the stability and convergence of a time-space nonuniform finite difference approximation of a degenerate Kawarada problem	2
Higher-order root-finding algorithm and its applications	2
Robust H ∞ performance for uncertain stochastic switched inertial neural networks with time-varying delay under a novel st	2
An accelerated derivative-free method using Picard-Krasnoselskii iterative process with applications in motion control	2
On improving the applicability of some higher-order iterative processes	2
Estimating stresses driving tissue flows using a stokes inverse problem	2
A space-time second-order method based on modified two-grid algorithm with second-order backward difference formula for the extended Fisher–Kolmogorov equation	2
Mathematical insights into fractal-fractional model of Tomato Yellow Leaf Curl disease	2
Solving time-fractional Schrödinger equation via the numerical method on extended space–time sparse grid	2
Linear and nonlinear Dirichlet–Neumann methods in multiple subdomains for the Cahn–Hilliard equation	2
Numerical approach for nonlinear Volterra integro-differential equations based on barycentric rational interpolation	2
Inverse source problems for multi-term time-fractional diffusion equation in spherical regions	2
Kaczmarz-type methods for solving matrix equations	2
Numerical simulation of pattern and chaos dynamic behaviour in the fractional-order-in-time Lengyel-Epstein reaction-diffusion system	2
Novel methodological and computational techniques for uncertainty quantification in diabetes short-term management models using real data	2
Superconvergence error analysis of discontinuous Galerkin method with interior penalties for 2D elliptic convection – diffusion – reaction problems	2
Discontinuous Galerkin for the wave equation: a simplified a priori error analysis	2
The role of insurance in investment strategies	2

Enhancing numerical performance by enforcing discrete maximum principle with stabilized term for the Allen–Cahn equation with high-order polynomial free energy	2
Regret bounds for online interval-valued convex optimization	2
A new high-order compact and conservative numerical scheme for the generalized symmetric regularized long wave equations	2
Resonant multiple soliton, non-singular complexiton and singular complexiton solutions to the (3+1)-dimensional shallow water wave equation	2
Influence of delay and white noise on a population model with prey-commensalism and cooperative hunting of predators	2
A conservative fourth-order compact linearized difference scheme for the generalized Gardner equation with variable coefficients	2
Analysis of finite element method for unsteady convection reaction-diffusion problem with discontinuous data	2
Theoretical and numerical study of a skeletal muscle regeneration model with inflammatory response	2
Multilevel Monte Carlo method based on multigrid discretizations for stochastic eigenvalue problem	2
Linear anchored Gaussian mixture model for location and width computations of objects in thick line shape	2
Global stability and sensitivity analysis of dengue transmission using four host and three vector classes along with control strategies	2
The virtual element method for solving two-dimensional fractional cable equation on general polygonal meshes	2
RBF–based IMEX finite difference schemes for pricing option under liquidity switching	2
Spectral approximation for nonlinear time fractional Schrödinger equation on graded meshes	2
Dimension analysis for Caputo-fractional derivative of spline fractal interpolation function	2
A hybrid Meshless approach for solving the distributed-order fractional Klein-Gordon equation based on generalized moving least squares and finite difference method	2
On the simultaneous reconstruction of the initial diffusion time and source term for the time-fractional diffusion equation	2
Energy dissipation law of the variable time-step fractional BDF2 scheme for the time fractional molecular beam epitaxial model	2
Exponential stability of pseudo asymptotically ω -periodic solution for delayed Cohen-Grossberg neural networks with double measure	2
Numerical investigation of the mesh-free collocation approach for solving third kind VIEs with nonlinear vanishing delays	2
An ADI finite difference method for the two-dimensional Volterra integro-differential equation with weakly singular kernel	1
Numerical solution of linear time-fractional Kuramoto-Sivashinsky equation via quintic B -splines	1
Numerical solution of 2D distributed-order fractional cable equation on regular and irregular domains based on the spectral element method	1
Low tubal rank tensor completion based on singular value factors	1
Singular stochastic Volterra integral equations with Mittag–Leffler kernels: well-posedness and strong convergence of θ-Maruyama method	1
RETRACTED ARTICLE: A cubic B-spline quasi-interpolation method for solving hyperbolic partial differential equations	1
Two linearized maximum bound principle preserving finite difference schemes of Riesz space-fractional Allen-Cahn equations with logarithmic free energy	1
Optimizing the conjugate gradient algorithm and its diverse applications	1
Analysis of optical soliton solutions in weakly nonlocal media to the fractional nonlinear Schrödinger equation in (2+1)–dimension via efficient computational technique	1
Exemplar-based large-scale low-rank matrix decomposition for collaborative prediction	1
A mollification regularization method with Dirichlet kernel to solve potential-free field inverse Schrödinger Cauchy problem	1
Prescribed time convergence and robust zeroing neural network for solving time-varying linear matrix equation	1
Higher-order breather, lump and hybrid solutions of (2 + 1)-dimensional coupled nonlinear evolution equations with time-dependent coefficients	1
Integer cum fractional ordered active-adaptive synchronization to control vasospasm in chaotic blood vessels to reduce risk of COVID-19 infections	1
Predictive modeling and intervention strategies for COVID-19 spread estimation using machine learning and computational intelligence techniques	1
Numerical similarity solutions for a class of Kolmogorov-type equations	1
A new family of means: the generalized weighted power means and applications	1
Numerical investigation of sixth-order BDF compact difference scheme for viscous Burgers' equations	1
Hilfer derivatives based on the multivariate Mittag-Leffler functions and applications	1
A degree-based topological optimization method for triangular meshes	1
Adaptation and assessement of projected Nesterov accelerated gradient flow to compute stationary states of nonlinear Schrödinger equations	1
A fast computational technique to solve fourth-order parabolic equations: application to good Boussinesq, Euler-Bernoulli and Benjamin-Ono equations	1
An optimized hybrid block method for solving nonlinear singularly perturbed problems using non-uniform Jain-type meshes	1
A numerical scheme for time-fractional Allen–Cahn equation with application in phase separation	1
On the numerical solution of a population growth model of a species living in a closed system based on the moving least squares scheme	1
Parameter uniform fitted mesh finite difference scheme for elliptical singularly perturbed problems with mixed shifts in two dimensions	1
Streamlined numerical solutions of burgers' equations bridging the tailored finite point method and the Cole Hopf transformation	1
A novel approach to find exact solutions of nonlinear systems of ordinary differential equations: applications to coupled non-integrable and integrable mKdV equations	1
Retraction: Enhancing Mortgage Rate Prediction: A Comprehensive Evaluation of Computational Statistical Approaches	1
A new and efficient fixed point method for mean curvature denoising model	1
A fast implicit difference scheme for solving high-dimensional time-space fractional nonlinear Schrödinger equation	1
H ∞ fault detection and control of Takagi–Sugeno continuous-time conic-type nonlinear systems	1
Randomization of short-rate models, analytic pricing and flexibility in controlling implied volatilities*	1
Controllability of semilinear fractional-order delay systems: theory and numerical simulations	1
Numerical simulation of fourth-order Volterra partial integro-differential equations using subdivision and trapezoidal rules	1
Preconditioning of pseudospectral method for high-order differential equations	1
Barrier option pricing and hedging model under stochastic conditions	1
Continuous attractors of fuzzy coupled recurrent neural networks	1
Dynamics of a stochastic nutrient-plankton system with seasonal fluctuation and toxin-producing phytoplankton	1
High precision barycentric interpolation collocation method to solve EFK equation	1
Solving nonlinear problems via a class of multi-step iteration methods	1
Legendre collocation method for new generalized fractional advection-diffusion equation	1
Evaluation of integrals with fractional Brownian motion for different Hurst indices	1
The stability and dissipativity of neutral stochastic delay systems with Markovian switching	1
Finite element analysis of chemotaxis-growth model with indirect attractant production and logistic source	1
An efficient numerical scheme for solving nonlinear fractional multidimensional weakly singular partial Volterra integro–differential equations involving the Caputo derivative and its error analysis	1
A BDF2 method for a singularly perturbed transport equation	1
The enhanced boundary knot method with fictitious sources for solving Helmholtz-type equations	1
Numerical performances based artificial neural networks to deal with the computer viruses spread on the complex networks	1
Laguerre spectral method for time fractional mixed diffusion-wave equations with weak singularity	1
Convergence analysis of a novel fractional product integration method for solving the second kind weakly singular Volterra integral equations with non-smooth solutions based on Jacobi polynomials	1
Existence, uniqueness, and neural network approximation for non-local Riemann fractional q -integro differential equations	1
Chaotic behaviour, bifurcation, and stability analysis of the time-fractional phi-four model using the Hirota bilinear form	1
Local discontinuous Galerkin methods with implicit–explicit BDF time marching for Newell–Whitehead–Segel equations	1
New spectral LS conjugate gradient method for nonlinear unconstrained optimization	1
Convergence guarantees for gradient descent in deep neural networks with non-convex loss functions	1
Threshold behaviour of a stochastic vector plant model for tomato yellow curl leaves disease: a study based on mathematical analysis and simulation	1
Interaction characteristics of the Riemann wave propagation in the (2+1)-dimensional generalized breaking soliton system	1
Efficient calibration of the shifted square-root diffusion model to credit default swap spreads using asymptotic approximations	1
Ionic flux calculation by an extended Goldman-Hodgkin-Katz equation accounting for nonlinear ion channel electrostatics	1
A dynamical analysis of fractional order hepatitis B virus transmission model with vaccine effects	1
A gradient-based calibration method for the Heston model	1
An improved discretization method of boundary conditions in peridynamic differential operator	1
Editorial	1
SUPG-YZβcomputation of chemically reactive convection-dominated nonlinear models	1
On SMSNSSOR iteration method for solving complex symmetric linear systems	1
A multi-domain Galerkin method with numerical integration for the Burgers equation	1
Long-time numerical properties analysis of a diffusive SIS epidemic model under a linear external source	1
An iterative method to solve the time delay optimal control problem with bounded control variable	1
Local convergence analysis of a novel derivative-free method with and without memory for solving nonlinear systems	1