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
A study on mild solutions for multi-term time fractional measure differential equations	24
Fourth-order exponential time differencing Runge–Kutta scheme and local meshless method to investigate unsteady diffusion–convection problems of anisotropic functionally graded materials	22
Parameter estimation in models generated by SDEs with symmetric alpha-stable noise	21
A stable pressure-correction MAC scheme for the fluid-Poroelastic material interaction problem	19
Analysis of a stochastic model for a prey–predator system with an indirect effect	17
Analysis of SLBPS node-based model by Schur complement technique	16
New three-term conjugate gradient algorithm for solving monotone nonlinear equations and signal recovery problems	14
An optimization method for solving a general class of the inverse system of nonlinear fractional order PDEs	13
An efficient off-step spline algorithm for wave simulation of nonlinear Kuramoto–Sivashinsky and Korteweg-de Vries equations	13
An accurate kernel functions-based method for coupled advection-diffusion-reaction models under Neumann, periodic, and no flux conditions	13
Maximum bound principle preserving nonuniform L1 scheme for space–time fractional Allen–Cahn equation	11
A high resolution Legendre wavelet method for sub-diffusion problems on a star-shaped connected graph	11
Numerical simulation of a fractional Davey–Stewartson model via a conservative scheme: preservation of mass, energy and momenta	11
The scaled Laguerre method for solving nonlinear optimal control problems with Volterra integral equations over a large time interval	10
Moore-Gibson-Thompson thermoelasticity with second gradient	10
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	9
Forward starting options pricing under a regime-switching jump-diffusion model with Wishart stochastic volatility and stochastic interest rate	9
Interactional solutions of the extended nonlinear Schrödinger equation with higher-order operators	9
Building erudition in the wound healing process: an inflammation model analysis	9
A Galerkin approach to solitary wave propagation for the second-order nonlinear evolution equation based on quartic B-spline functions	9
Mathematical and numerical simulation of a nonlinear thermoelastic system	9
On the numerical solution of weakly singular integral equations of the first kind using a regularized projection method	8
On an inversion-free algorithm for the nonlinear matrix problem Xα+A∗X−βA+B∗X−γB=I,	8

A numerical scheme to solve mixed parabolic-elliptic problem involving singular perturbation	7
Correction	7
Smoothing techniques in solving non-Lipschitz absolute value equations	7
Application-oriented numerical computation and optimization–a celebration of 60 years of the IJCM	7
Euler–Maruyama methods for Caputo tempered fractional stochastic differential equations	7
Convergence and stability of split-step θ methods for stochastic variable delay differential equations	7
The a priori and a posteriori error estimates of Crouzeix–Raviart element for the fluid–solid vibration problem	7
Accelerated computations of sensitivities for xVA*	7
Meshless method and shifted Chebyshev polynomials for solving a class of VIEs of the third kind	7
Stability robust for fractional generalized multi-dimensional state–space models	7
Borel control and efficient numerical techniques to solve the Allen–Cahn equation governed by temporal multiplicative noise	7
Hesitant fuzzy parameterized hesitant fuzzy soft sets and their applications in decision-making	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
Projection and modified projection methods for nonlinear Hammerstein integral equations on the real line using Hermite polynomials	6
Numerical strategies for recursive least squares solutions to the matrix equation AX = B	6
The method of fundamental solutions for solving direct and inverse Signorini problems in elasticity	6
A fast third order algorithm for two dimensional inhomogeneous fractional parabolic partial differential equations	6
Existence, uniqueness and stability of semilinear nonautonomous impulsive systems on time scales	6
Euler wavelets operational matrix of integration and its application in the calculus of variations	6
On sparse spectral Jacobi method for highly oscillatory integrals	6
Convergence and numerical solution of nonlinear generalized Benjamin–Bona–Mahony–Burgers equation in 2D and 3D via generalized finite difference method	6
A meshless quasi-interpolation method for solving hyperbolic conservation laws based on the essentially non-oscillatory reconstruction	6
A novel mixed spectral approximation for fourth-order problems with Neumann boundary conditions	6
The robust numerical schemes for two-dimensional elliptical singularly perturbed problems with space shifts	6
A nonmonotone adaptive trust region technique with a forgetting factor	6
Non-autonomous chemostat models with non-monotonic growth	6
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
The SEIRS-C model of information diffusion based on rumour spreading with fuzzy logic in social networks	5
Existence and blow up time estimate for a nonlinear Cauchy problem with variable exponents: theory and numerics	5
Modified inertial extragradient methods for finding minimum-norm solution of the variational inequality problem with applications to optimal control problem	5
Truncated Euler–Maruyama method for stochastic differential equations driven by fractional Brownian motion with super-linear drift coefficient	5
Fractional Chebyshev cardinal wavelets: application for fractional quadratic integro-differential equations	5
A convex combination-based derivative-free projection algorithm for finding solutions of constrained nonlinear equations with signal recovery applications	5
A computational method for the singularly perturbed delay pseudo-parabolic differential equations on adaptive mesh	5
Computationally efficient techniques for spatial regression with differential regularization	5
A single timescale stochastic quasi-Newton method for stochastic optimization	5
A novel conformable Laplace transform for conformable fractional Lane–Emden type equations	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
Pseudo S-asymptotically ω -antiperiodic solutions for high-order Hopfield neural networks	4
A non-classical sinc-collocation method for the solution of singular boundary value problems arising in physiology	4
B-spline wavelets series solution for the class of singular IVPs of fourth-order Emden–Fowler equations	4
A Bayesian regularization radial basis neural network novel procedure for the fractional economic and environmental system	4
Finite difference approximation of time-fractional advection-diffusion equation on a metric star graph	4
Optimal fourth-order parameter-uniform convergence of a non-monotone scheme on equidistributed meshes for singularly perturbed reaction–diffusion problems	4
Efficient pricing and calibration of high-dimensional basket options	4
H 1 -norm error estimate of a compact ADI finite difference scheme for the 2 D multi-term time-fractional convection-diffusion	4
Numerical simulation and machine learning approach of Eyring-Powell dusty hybrid nanofluid flow of solar thermal applications	4
Numerical discretization of the Navier–Stokes equations with power-law stick-slip boundary condition	4

The measure pseudo almost-periodicty and automorphy in HOHNNs with time-varying delays	4
A new options pricing method: semi-stochastic kernel regression method with constraints	4
The majorization minimization algorithm for solving nonconvex generalized Nash equilibrium problems	4
A space-time Galerkin Müntz spectral method for the time fractional Fokker–Planck equation	4
Modification of numerical algorithm for space-time fractional partial differential equations including two types of fractional derivatives	4
A moving mesh method for quenching problem	4
RETRACTED ARTICLE: Mathematical techniques and applications of linear differential equation	3
A random mathematical model to describe the antibiotic resistance depending on the antibiotic consumption: the Acinetobacter baumannii colistin-resistant case in Valenci	3
A second order difference method combined with time two-grid algorithm for two-dimensional time-fractional Fisher equation	3
Two-step Runge–Kutta methods for Volterra integro-differential equations	3
Maximum likelihood estimation for a stochastic SEIR system with a COVID-19 application	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
Error estimate of a finite difference method for the nonlinear distributed-ordered diffusion equation on staggered grids	3
FDM-PINN: Physics-informed neural network based on fictitious domain method	3
Modelling and filtering for dynamic investment in the precious-metals market	3
Fast compact difference schemes with temporally graded meshes for the high-dimensional time-fractional subdiffusion equation	3
Hall-influenced 3D rotating flow of MHD ([GO-MoS 2 /Na-Alg] h ) hybrid nanofluid over an expanding surface with activation energy	3
Generalized multistep Steffensen iterative method. Solving the model of a photomultiplier device	3
A numerical optimization scheme for solving systems of fractional-order differential equations	3
Parameter regulation and interaction trajectory of the (3+1)-dimensional nonlinear evolution equations	3
A new class of positive linear operators and their improvement: theory and numerical experiments	3
Theoretical analysis of second-order modified upwind conservative characteristic finite difference for advection diffusion equations	3
Fractional second linear multistep methods: the explicit forms for solving fractional differential equations and stability analysis	3
Multisymplectic Hamiltonian variational integrators	3
A convergent numerical scheme to a McKendrick–von Foerster equation with diffusion	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
A novel approach based on mixed exponential compact finite difference and OHA methods for solving a class of nonlinear singular boundary value problems	3
Numerical solution to 3D bilinear Fokker–Planck control problem	3
Global observability for a class of ψ -Riemann-Liouville time-fractional systems of order from one to two	3
A novel semi-analytic algorithm for evaluation of nearly singular integrals in boundary element analysis	3
A modified extended Fletcher–Reeves conjugate gradient method with an application in image restoration	3
On the simultaneous reconstruction of the initial diffusion time and source term for the time-fractional diffusion equation	2
Superconvergence error analysis of discontinuous Galerkin method with interior penalties for 2D elliptic convection – diffusion – reaction problems	2
Estimating stresses driving tissue flows using a stokes inverse problem	2
Dimension analysis for Caputo-fractional derivative of spline fractal interpolation function	2
Efficient parallel Monte-Carlo techniques for pricing American options including counterparty credit risk	2
A mass-lumping finite element method for radially symmetric solution of a multidimensional semilinear heat equation with blow-up	2
Linear anchored Gaussian mixture model for location and width computations of objects in thick line shape	2
Richardson extrapolation for the iterated Galerkin solution of Urysohn integral equations with Green's kernels	2
A parallel high-order accuracy algorithm for the Helmholtz equations	2
Robust H ∞ performance for uncertain stochastic switched inertial neural networks with time-varying delay under a novel state-dependent switching	2
Novel methodological and computational techniques for uncertainty quantification in diabetes short-term management models using real data	2
High-order numerical algorithms for the time-fractional convection–diffusion equation	2
Nonlinearly preconditioned semismooth Newton algorithms for nonlinear nonsmooth systems	2
Laplace based physical informed neural network for the time-fractional partial differential equations	2
Robust finite-time non-fragile memory feedback control for uncertain systems with external disturbance	2
Linear and nonlinear Dirichlet–Neumann methods in multiple subdomains for the Cahn–Hilliard equation	2
Influence of delay and white noise on a population model with prey-commensalism and cooperative hunting of predators	2
Numerical method for solving the fractional evolutionary model of bi-flux diffusion processes	2
Analysis of finite element method for unsteady convection reaction-diffusion problem with discontinuous data	2
The virtual element method for solving two-dimensional fractional cable equation on general polygonal meshes	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
On mild solutions of the p-Laplacian fractional Langevin equations with anti-periodic type boundary conditions	2
RBF–based IMEX finite difference schemes for pricing option under liquidity switching	2
Higher-order root-finding algorithm and its applications	2
A computational approach for solving fractional Volterra integral equations based on two-dimensional Haar wavelet method	2
Kaczmarz-type methods for solving matrix equations	2
A new high-accuracy difference method for nonhomogeneous time-fractional Schrödinger equation	2
A new approach on the stability and convergence of a time-space nonuniform finite difference approximation of a degenerate Kawarada problem	2
The efficient element-free Galerkin method for 3D variable wave number Helmholtz equations	2
Computing p th root of a transition matrix with a deep unsupervised learning approach	2
Numerical solution of two-dimensional nonlinear Volterra integral equations of the first kind using operational matrices of hybrid functions	2
On the numerical solution of time fractional Black-Scholes equation	2
A fast compact finite difference scheme for the fourth-order diffusion-wave equation	2
Enhancing numerical performance by enforcing discrete maximum principle with stabilized term for the Allen–Cahn equation with high-order polynomial free energy	2
Breathers, interactions between breathers and lumps for a (3 + 1)-dimensional nonlinear evolution equation for the shallow-water waves	2
A conservative fourth-order compact linearized difference scheme for the generalized Gardner equation with variable coefficients	2
Spectral approximation for nonlinear time fractional Schrödinger equation on graded meshes	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
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
Studying a cylindrical moving boundary problem in ductal carcinoma in situ	2
Global stability and sensitivity analysis of dengue transmission using four host and three vector classes along with control strategies	2
Numerical solution and analysis of extended Fisher–Kolmogorov equation using an improved collocation algorithm	2
Energy dissipation law of the variable time-step fractional BDF2 scheme for the time fractional molecular beam epitaxial model	2
Analysis of a robust implicit scheme for space–time fractional stochastic nonlinear diffusion wave model	2
A hybrid approach based on Legendre wavelet for numerical simulation of Helmholtz equation with complex solution	2
Optical solutions to the extended (3+1)-dimensional cubic-quintic nonlinear conformable Schrödinger equation via two effective algorithms	2

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