International Journal of Computer Mathematics

Article	Citations
Convergence and stability of modified partially truncated Euler-Maruyama method for stochastic differential equations with piecewise continuous arguments	27
Fourth-order exponential time differencing Runge–Kutta scheme and local meshless method to investigate unsteady diffusion–convection problems of anisotropic functionally graded materials	25
A study on mild solutions for multi-term time fractional measure differential equations	25
Parameter estimation in models generated by SDEs with symmetric alpha-stable noise	21
New three-term conjugate gradient algorithm for solving monotone nonlinear equations and signal recovery problems	19
Maximum bound principle preserving nonuniform L1 scheme for space–time fractional Allen–Cahn equation	16
Analysis of SLBPS node-based model by Schur complement technique	16
An efficient off-step spline algorithm for wave simulation of nonlinear Kuramoto–Sivashinsky and Korteweg-de Vries equations	13
A stable pressure-correction MAC scheme for the fluid-Poroelastic material interaction problem	13
Analysis of a stochastic model for a prey–predator system with an indirect effect	13
An optimization method for solving a general class of the inverse system of nonlinear fractional order PDEs	12
A high resolution Legendre wavelet method for sub-diffusion problems on a star-shaped connected graph	11
An accurate kernel functions-based method for coupled advection-diffusion-reaction models under Neumann, periodic, and no flux conditions	11
Series solution and Chebyshev collocation method for the initial value problem of Emden-Fowler equation	10
Approximating solutions of the generalized modification of the system of equilibrium problems and fixed point problem of a nonexpansive mapping	10
Analyzing the HIV infection dynamics: a numerical study of mathematical model,incorporating the Atangana-Baleanu fractional operator by using the Sumudu transform method	10
A Galerkin approach to solitary wave propagation for the second-order nonlinear evolution equation based on quartic B-spline functions	10
Mathematical and numerical simulation of a nonlinear thermoelastic system	9
The scaled Laguerre method for solving nonlinear optimal control problems with Volterra integral equations over a large time interval	9
Moore-Gibson-Thompson thermoelasticity with second gradient	9
Numerical simulation of a fractional Davey–Stewartson model via a conservative scheme: preservation of mass, energy and momenta	9
On an inversion-free algorithm for the nonlinear matrix problem Xα+A∗X−βA+B∗X−γB=I,	8
Building erudition in the wound healing process: an inflammation model analysis	8
Forward starting options pricing under a regime-switching jump-diffusion model with Wishart stochastic volatility and stochastic interest rate	8
A numerical scheme to solve mixed parabolic-elliptic problem involving singular perturbation	8

Interactional solutions of the extended nonlinear Schrödinger equation with higher-order operators	8
Meshless method and shifted Chebyshev polynomials for solving a class of VIEs of the third kind	8
Convergence and stability of split-step θ methods for stochastic variable delay differential equations	7
Smoothing techniques in solving non-Lipschitz absolute value equations	7
The a priori and a posteriori error estimates of Crouzeix–Raviart element for the fluid–solid vibration problem	7
Euler–Maruyama methods for Caputo tempered fractional stochastic differential equations	7
Borel control and efficient numerical techniques to solve the Allen–Cahn equation governed by temporal multiplicative noise	7
On the numerical solution of weakly singular integral equations of the first kind using a regularized projection method	7
Stability robust for fractional generalized multi-dimensional state–space models	7
Correction	7
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	7
Hesitant fuzzy parameterized hesitant fuzzy soft sets and their applications in decision-making	7
The robust numerical schemes for two-dimensional elliptical singularly perturbed problems with space shifts	6
Numerical strategies for recursive least squares solutions to the matrix equation AX = B	6
On sparse spectral Jacobi method for highly oscillatory integrals	6
A fast third order algorithm for two dimensional inhomogeneous fractional parabolic partial differential equations	6
The method of fundamental solutions for solving direct and inverse Signorini problems in elasticity	6
Existence, uniqueness and stability of semilinear nonautonomous impulsive systems on time scales	6
A novel mixed spectral approximation for fourth-order problems with Neumann boundary conditions	6
A numerical method based on the piecewise Chebyshev cardinal functions for a class of third-kind nonlinear fractional integro-differential equations	6
Accelerated computations of sensitivities for xVA*	6
A meshless quasi-interpolation method for solving hyperbolic conservation laws based on the essentially non-oscillatory reconstruction	6
Application-oriented numerical computation and optimization–a celebration of 60 years of the IJCM	6
Euler wavelets operational matrix of integration and its application in the calculus of variations	6
Projection and modified projection methods for nonlinear Hammerstein integral equations on the real line using Hermite polynomials	6
A nonmonotone adaptive trust region technique with a forgetting factor	6
Non-autonomous chemostat models with non-monotonic growth	6
Modified inertial extragradient methods for finding minimum-norm solution of the variational inequality problem with applications to optimal control problem	5
H 1 -norm error estimate of a compact ADI finite difference scheme for the 2 D multi-term time-fractional convection-diffusion	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
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
Fractional Chebyshev cardinal wavelets: application for fractional quadratic integro-differential equations	5
B-spline wavelets series solution for the class of singular IVPs of fourth-order Emden–Fowler equations	5
Numerical discretization of the Navier–Stokes equations with power-law stick-slip boundary condition	5
Numerical simulation of high-dimensional two-component reaction–diffusion systems with fractional derivatives	5
A single timescale stochastic quasi-Newton method for stochastic optimization	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
Symmetries and solutions for the inviscid oceanic Rossby wave equation	5
Computationally efficient techniques for spatial regression with differential regularization	5
Truncated Euler–Maruyama method for stochastic differential equations driven by fractional Brownian motion with super-linear drift coefficient	5
A computational method for the singularly perturbed delay pseudo-parabolic differential equations on adaptive mesh	4
The SEIRS-C model of information diffusion based on rumour spreading with fuzzy logic in social networks	4
A space-time Galerkin Müntz spectral method for the time fractional Fokker–Planck equation	4
Pseudo S-asymptotically ω -antiperiodic solutions for high-order Hopfield neural networks	4
A moving mesh method for quenching problem	4
Existence and blow up time estimate for a nonlinear Cauchy problem with variable exponents: theory and numerics	4
A novel conformable Laplace transform for conformable fractional Lane–Emden type equations	4
The majorization minimization algorithm for solving nonconvex generalized Nash equilibrium problems	4
Finite difference approximation of time-fractional advection-diffusion equation on a metric star graph	4
Modification of numerical algorithm for space-time fractional partial differential equations including two types of fractional derivatives	4

A convex combination-based derivative-free projection algorithm for finding solutions of constrained nonlinear equations with signal recovery applications	4
A Bayesian regularization radial basis neural network novel procedure for the fractional economic and environmental system	4
Numerical simulation and machine learning approach of Eyring-Powell dusty hybrid nanofluid flow of solar thermal applications	4
The measure pseudo almost-periodicty and automorphy in HOHNNs with time-varying delays	4
Efficient pricing and calibration of high-dimensional basket options	4
Parameter regulation and interaction trajectory of the (3+1)-dimensional nonlinear evolution equations	3
Numerical method for two-dimensional linearly elastic clamped plate model	3
A priori mesh grading in collocation solution of noncompact Volterra integral equations with diagonal singularity	3
Fast compact difference schemes with temporally graded meshes for the high-dimensional time-fractional subdiffusion equation	3
A convergent numerical scheme to a McKendrick–von Foerster equation with diffusion	3
FDM-PINN: Physics-informed neural network based on fictitious domain method	3
Optimal fourth-order parameter-uniform convergence of a non-monotone scheme on equidistributed meshes for singularly perturbed reaction–diffusion problems	3
A descent hybridization of the Polak–Ribière–Polyak and Fletcher–Reeves conjugate gradient methods with applications to nonnegative matrix factorization and compressive sensing	3
A novel semi-analytic algorithm for evaluation of nearly singular integrals in boundary element analysis	3
Fractional second linear multistep methods: the explicit forms for solving fractional differential equations and stability analysis	3
The fractional stochastic Black-Scholes equation versus artificial neural networks: a comparative study of option pricing on the masi index	3
A two-grid virtual element method for nonlinear variable-order time-fractional diffusion equation on polygonal meshes	3
Theoretical analysis of second-order modified upwind conservative characteristic finite difference for advection diffusion equations	3
Regularized moving least squares meshless method for solving three-dimensional Fredholm integral equations on 3D irregular domain	3
A non-classical sinc-collocation method for the solution of singular boundary value problems arising in physiology	3
Modelling and filtering for dynamic investment in the precious-metals market	3
A random mathematical model to describe the antibiotic resistance depending on the antibiotic consumption: the Acinetobacter baumannii colistin-resistant case in Valenci	3
Global observability for a class of ψ -Riemann-Liouville time-fractional systems of order from one to two	3
Generalized multistep Steffensen iterative method. Solving the model of a photomultiplier device	3
Numerical solution to 3D bilinear Fokker–Planck control problem	3
Hall-influenced 3D rotating flow of MHD ([GO-MoS 2 /Na-Alg] h ) hybrid nanofluid over an expanding surface with activation energy	3
Multisymplectic Hamiltonian variational integrators	3
A modified extended Fletcher–Reeves conjugate gradient method with an application in image restoration	3
A new options pricing method: semi-stochastic kernel regression method with constraints	3
RETRACTED ARTICLE: Mathematical techniques and applications of linear differential equation	3
Error estimate of a finite difference method for the nonlinear distributed-ordered diffusion equation on staggered grids	3
On mild solutions of the p-Laplacian fractional Langevin equations with anti-periodic type boundary conditions	2
Enhancing numerical performance by enforcing discrete maximum principle with stabilized term for the Allen–Cahn equation with high-order polynomial free energy	2
The role of insurance in investment strategies	2
Finite-time guaranteed cost control for stochastic nonlinear switched systems with time-varying delays and reaction-diffusion	2
Modified Legendre rational and exponential collocation methods for solving nonlinear Hammerstein integral equations on the semi-infinite domain	2
Efficient parallel Monte-Carlo techniques for pricing American options including counterparty credit risk	2
Numerical solution and analysis of extended Fisher–Kolmogorov equation using an improved collocation algorithm	2
Linear and nonlinear Dirichlet–Neumann methods in multiple subdomains for the Cahn–Hilliard equation	2
Maximum likelihood estimation for a stochastic SEIR system with a COVID-19 application	2
On the simultaneous reconstruction of the initial diffusion time and source term for the time-fractional diffusion equation	2
A numerical optimization scheme for solving systems of fractional-order differential equations	2
On the numerical solution of time fractional Black-Scholes equation	2
Novel methodological and computational techniques for uncertainty quantification in diabetes short-term management models using real data	2
A novel approach based on mixed exponential compact finite difference and OHA methods for solving a class of nonlinear singular boundary value problems	2
Dimension analysis for Caputo-fractional derivative of spline fractal interpolation function	2
Analysis of a robust implicit scheme for space–time fractional stochastic nonlinear diffusion wave model	2
RBF–based IMEX finite difference schemes for pricing option under liquidity switching	2
Discontinuous Galerkin for the wave equation: a simplified a priori error analysis	2
A new high-accuracy difference method for nonhomogeneous time-fractional Schrödinger equation	2
Optical solutions to the extended (3+1)-dimensional cubic-quintic nonlinear conformable Schrödinger equation via two effective algorithms	2
Energy dissipation law of the variable time-step fractional BDF2 scheme for the time fractional molecular beam epitaxial model	2
A fast compact finite difference scheme for the fourth-order diffusion-wave equation	2
Analysis of finite element method for unsteady convection reaction-diffusion problem with discontinuous data	2
Kink, kink-lump, kink-breather and rough wave soliton solutions of the (3 + 1)-dimensional space-time fractional Jimbo-Miwa equation	2
Linear anchored Gaussian mixture model for location and width computations of objects in thick line shape	2
Hermite-type collocation methods for volterra integral equations with weakly singular highly oscillatory Fourier kernels	2
Studying a cylindrical moving boundary problem in ductal carcinoma in situ	2
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	2
Influence of delay and white noise on a population model with prey-commensalism and cooperative hunting of predators	2
A new class of positive linear operators and their improvement: theory and numerical experiments	2
Higher-order root-finding algorithm and its applications	2
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
Computing p th root of a transition matrix with a deep unsupervised learning approach	2
A conservative fourth-order compact linearized difference scheme for the generalized Gardner equation with variable coefficients	2
A new approach on the stability and convergence of a time-space nonuniform finite difference approximation of a degenerate Kawarada problem	2
Spectral approximation for nonlinear time fractional Schrödinger equation on graded meshes	2
A parallel high-order accuracy algorithm for the Helmholtz equations	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
High-order numerical algorithms for the time-fractional convection–diffusion equation	2
An inertial iterative method for common solution of a pair of variational inequality problems	2
Robust H ∞ performance for uncertain stochastic switched inertial neural networks with time-varying delay under a novel state-dependent switching	2
Robust finite-time non-fragile memory feedback control for uncertain systems with external disturbance	2
Estimating stresses driving tissue flows using a stokes inverse problem	2
Two-step Runge–Kutta methods for Volterra integro-differential equations	2
A hybrid approach based on Legendre wavelet for numerical simulation of Helmholtz equation with complex solution	2
A second order difference method combined with time two-grid algorithm for two-dimensional time-fractional Fisher equation	2
The efficient element-free Galerkin method for 3D variable wave number Helmholtz equations	2
Exact simulation of the 3/2 stochastic volatility model with stochastic jump intensity	2

Laplace based physical informed neural network for the time-fractional partial differential equations	2
Superconvergence error analysis of discontinuous Galerkin method with interior penalties for 2D elliptic convection – diffusion – reaction problems	2
Nonlinearly preconditioned semismooth Newton algorithms for nonlinear nonsmooth systems	2
A mass-lumping finite element method for radially symmetric solution of a multidimensional semilinear heat equation with blow-up	2
Kaczmarz-type methods for solving matrix equations	2
Numerical solution of two-dimensional nonlinear Volterra integral equations of the first kind using operational matrices of hybrid functions	2
Numerical investigation of the mesh-free collocation approach for solving third kind VIEs with nonlinear vanishing delays	1
Convergence guarantees for gradient descent in deep neural networks with non-convex loss functions	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
Ana priorierror analysis of thehp-version of theC0-continuous Petrov-Galerkin method for nonlinear second-order delay differential equations	1
H ∞ fault detection and control of Takagi–Sugeno continuous-time conic-type nonlinear systems	1
Legendre collocation method for new generalized fractional advection-diffusion equation	1
A fast implicit difference scheme for solving high-dimensional time-space fractional nonlinear Schrödinger equation	1
Local discontinuous Galerkin methods with implicit–explicit BDF time marching for Newell–Whitehead–Segel equations	1
Numerical computation for rogue waves in the coupled nonlinear Schrödinger equations with the coherent coupling effect	1
Editorial	1
A numerical scheme for time-fractional Allen–Cahn equation with application in phase separation	1
Continuous attractors of fuzzy coupled recurrent neural networks	1
New spectral LS conjugate gradient method for nonlinear unconstrained optimization	1
On reconstruction of binary images by efficient sample-based parameterization in applications for electrical impedance tomography	1
Impulsive effects on stochastic bidirectional associative memory neural networks with reaction-diffusion and leakage delays	1
An efficient finite-element method and error analysis for the fourth-order elliptic equation in a circular domain	1
A BDF2 method for a singularly perturbed transport equation	1
Numerical approximations based on sextic B-spline functions for solving fourth-order singular problems	1
Numerical method for solving the fractional evolutionary model of bi-flux diffusion processes	1
Predictive modeling and intervention strategies for COVID-19 spread estimation using machine learning and computational intelligence techniques	1
Numerical solution of 2D distributed-order fractional cable equation on regular and irregular domains based on the spectral element method	1
Breathers, interactions between breathers and lumps for a (3 + 1)-dimensional nonlinear evolution equation for the shallow-water waves	1
Higher-order breather, lump and hybrid solutions of (2 + 1)-dimensional coupled nonlinear evolution equations with time-dependent coefficients	1
A new high-order compact and conservative numerical scheme for the generalized symmetric regularized long wave equations	1
Numerical solution of linear time-fractional Kuramoto-Sivashinsky equation via quintic B -splines	1
A fast computational technique to solve fourth-order parabolic equations: application to good Boussinesq, Euler-Bernoulli and Benjamin-Ono equations	1
A degree-based topological optimization method for triangular meshes	1
RETRACTED ARTICLE: A cubic B-spline quasi-interpolation method for solving hyperbolic partial differential equations	1
Randomization of short-rate models, analytic pricing and flexibility in controlling implied volatilities*	1
Chaotic behaviour, bifurcation, and stability analysis of the time-fractional phi-four model using the Hirota bilinear form	1
Singular stochastic Volterra integral equations with Mittag–Leffler kernels: well-posedness and strong convergence of θ-Maruyama method	1
Exemplar-based large-scale low-rank matrix decomposition for collaborative prediction	1
Efficient calibration of the shifted square-root diffusion model to credit default swap spreads using asymptotic approximations	1
Integer cum fractional ordered active-adaptive synchronization to control vasospasm in chaotic blood vessels to reduce risk of COVID-19 infections	1
Numerical solution for three-dimensional nonlinear mixed Volterra–Fredholm integral equations via modified moving least-square method	1
A new and efficient fixed point method for mean curvature denoising model	1
A mollification regularization method with Dirichlet kernel to solve potential-free field inverse Schrödinger Cauchy problem	1
Threshold behaviour of a stochastic vector plant model for tomato yellow curl leaves disease: a study based on mathematical analysis and simulation	1
An optimized hybrid block method for solving nonlinear singularly perturbed problems using non-uniform Jain-type meshes	1
Long-time numerical properties analysis of a diffusive SIS epidemic model under a linear external source	1
Numerical performances based artificial neural networks to deal with the computer viruses spread on the complex networks	1
Barrier option pricing and hedging model under stochastic conditions	1
Efficiency energy-preserving cosine pseudo-spectral algorithms for the sine-Gordon equation with Neumann boundary conditions	1
Numerical analysis of singularly perturbed parabolic reaction diffusion differential difference equations	1
Numerical simulation of fourth-order Volterra partial integro-differential equations using subdivision and trapezoidal rules	1
Numerical investigation of sixth-order BDF compact difference scheme for viscous Burgers' equations	1
A novel second-order nonstandard finite difference method preserving dynamical properties of a general single-species model	1
High precision barycentric interpolation collocation method to solve EFK equation	1
A space-time second-order method based on modified two-grid algorithm with second-order backward difference formula for the extended Fisher–Kolmogorov equation	1
Exponential stability of pseudo asymptotically ω -periodic solution for delayed Cohen-Grossberg neural networks with double measure	1
Retraction: Enhancing Mortgage Rate Prediction: A Comprehensive Evaluation of Computational Statistical Approaches	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
The stability and dissipativity of neutral stochastic delay systems with Markovian switching	1
A gradient-based calibration method for the Heston model	1
Low tubal rank tensor completion based on singular value factors	1
Parameter uniform fitted mesh finite difference scheme for elliptical singularly perturbed problems with mixed shifts in two dimensions	1
On SMSNSSOR iteration method for solving complex symmetric linear systems	1
Local convergence analysis of a novel derivative-free method with and without memory for solving nonlinear systems	1
Ionic flux calculation by an extended Goldman-Hodgkin-Katz equation accounting for nonlinear ion channel electrostatics	1
Streamlined numerical solutions of burgers' equations bridging the tailored finite point method and the Cole Hopf transformation	1
Two linearized maximum bound principle preserving finite difference schemes of Riesz space-fractional Allen-Cahn equations with logarithmic free energy	1
The enhanced boundary knot method with fictitious sources for solving Helmholtz-type equations	1
Theoretical and numerical study of a skeletal muscle regeneration model with inflammatory response	1
A new family of means: the generalized weighted power means and applications	1
Numerical similarity solutions for a class of Kolmogorov-type equations	1
Prescribed time convergence and robust zeroing neural network for solving time-varying linear matrix equation	1
Hilfer derivatives based on the multivariate Mittag-Leffler functions and applications	1
Interaction characteristics of the Riemann wave propagation in the (2+1)-dimensional generalized breaking soliton system	1
Numerical approach for nonlinear Volterra integro-differential equations based on barycentric rational interpolation	1
An ADI finite difference method for the two-dimensional Volterra integro-differential equation with weakly singular kernel	1
Existence, uniqueness, and neural network approximation for non-local Riemann fractional q -integro differential equations	1
Solving time-fractional Schrödinger equation via the numerical method on extended space–time sparse grid	1
Evaluation of shallow water waves modelled by the Rosenau-Kawahara equation using pseudo-compact finite difference approach	1
On Z-fractional differential equations	1