International Journal of Computer Mathematics

Papers
(The median citation count of International Journal of Computer Mathematics is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-08-01 to 2025-08-01.)
ArticleCitations
Convergence and stability of modified partially truncated Euler-Maruyama method for stochastic differential equations with piecewise continuous arguments26
A study on mild solutions for multi-term time fractional measure differential equations23
Parameter estimation in models generated by SDEs with symmetric alpha-stable noise19
Fourth-order exponential time differencing Runge–Kutta scheme and local meshless method to investigate unsteady diffusion–convection problems of anisotropic functionally graded materials19
A stable pressure-correction MAC scheme for the fluid-Poroelastic material interaction problem18
An accurate kernel functions-based method for coupled advection-diffusion-reaction models under Neumann, periodic, and no flux conditions16
Analysis of a stochastic model for a prey–predator system with an indirect effect16
Analysis of SLBPS node-based model by Schur complement technique13
An optimization method for solving a general class of the inverse system of nonlinear fractional order PDEs13
A high resolution Legendre wavelet method for sub-diffusion problems on a star-shaped connected graph12
An efficient off-step spline algorithm for wave simulation of nonlinear Kuramoto–Sivashinsky and Korteweg-de Vries equations12
New three-term conjugate gradient algorithm for solving monotone nonlinear equations and signal recovery problems11
Maximum bound principle preserving nonuniform L1 scheme for space–time fractional Allen–Cahn equation11
Building erudition in the wound healing process: an inflammation model analysis11
Numerical simulation of a fractional Davey–Stewartson model via a conservative scheme: preservation of mass, energy and momenta10
The scaled Laguerre method for solving nonlinear optimal control problems with Volterra integral equations over a large time interval10
Moore-Gibson-Thompson thermoelasticity with second gradient10
Forward starting options pricing under a regime-switching jump-diffusion model with Wishart stochastic volatility and stochastic interest rate9
Series solution and Chebyshev collocation method for the initial value problem of Emden-Fowler equation9
Approximating solutions of the generalized modification of the system of equilibrium problems and fixed point problem of a nonexpansive mapping9
Interactional solutions of the extended nonlinear Schrödinger equation with higher-order operators9
A Galerkin approach to solitary wave propagation for the second-order nonlinear evolution equation based on quartic B-spline functions9
Smoothing techniques in solving non-Lipschitz absolute value equations8
Lie group integrators for mechanical systems8
On the numerical solution of weakly singular integral equations of the first kind using a regularized projection method8
On an inversion-free algorithm for the nonlinear matrix problem Xα+A∗X−βA+B∗X−γB=I,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 operator7
Correction7
A numerical scheme to solve mixed parabolic-elliptic problem involving singular perturbation7
Stability robust for fractional generalized multi-dimensional state–space models7
Meshless method and shifted Chebyshev polynomials for solving a class of VIEs of the third kind7
Convergence and stability of split-step θ methods for stochastic variable delay differential equations6
Euler–Maruyama methods for Caputo tempered fractional stochastic differential equations6
Existence, uniqueness and stability of semilinear nonautonomous impulsive systems on time scales6
Euler wavelets operational matrix of integration and its application in the calculus of variations6
Borel control and efficient numerical techniques to solve the Allen–Cahn equation governed by temporal multiplicative noise6
Hesitant fuzzy parameterized hesitant fuzzy soft sets and their applications in decision-making6
Accelerated computations of sensitivities for xVA*6
Projection and modified projection methods for nonlinear Hammerstein integral equations on the real line using Hermite polynomials6
The a priori and a posteriori error estimates of Crouzeix–Raviart element for the fluid–solid vibration problem6
Application-oriented numerical computation and optimization–a celebration of 60 years of the IJCM6
The robust numerical schemes for two-dimensional elliptical singularly perturbed problems with space shifts6
Smoothing effect and exponential stability of discrete-time Schrödinger equation with fractional regularization term6
Numerical strategies for recursive least squares solutions to the matrix equation AX = B5
Modified inertial extragradient methods for finding minimum-norm solution of the variational inequality problem with applications to optimal control problem5
Non-autonomous chemostat models with non-monotonic growth5
Numerical simulation of high-dimensional two-component reaction–diffusion systems with fractional derivatives5
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 method5
Symmetries and solutions for the inviscid oceanic Rossby wave equation5
A novel mixed spectral approximation for fourth-order problems with Neumann boundary conditions5
Convergence and numerical solution of nonlinear generalized Benjamin–Bona–Mahony–Burgers equation in 2D and 3D via generalized finite difference method5
A fast third order algorithm for two dimensional inhomogeneous fractional parabolic partial differential equations5
Nonlinear spin dynamics of a couple of nonlinear Schrödinger's equations by the improved form of an analytical method5
Truncated Euler–Maruyama method for stochastic differential equations driven by fractional Brownian motion with super-linear drift coefficient5
A novel conformable Laplace transform for conformable fractional Lane–Emden type equations5
Fractional Chebyshev cardinal wavelets: application for fractional quadratic integro-differential equations5
The method of fundamental solutions for solving direct and inverse Signorini problems in elasticity5
A nonmonotone adaptive trust region technique with a forgetting factor5
A meshless quasi-interpolation method for solving hyperbolic conservation laws based on the essentially non-oscillatory reconstruction5
Computationally efficient techniques for spatial regression with differential regularization5
A single timescale stochastic quasi-Newton method for stochastic optimization5
The SEIRS-C model of information diffusion based on rumour spreading with fuzzy logic in social networks5
Numerical simulation and machine learning approach of Eyring-Powell dusty hybrid nanofluid flow of solar thermal applications4
H 1 -norm error estimate of a compact ADI finite difference scheme for the 2 D multi-term time-fractional convection-diffusion 4
Modification of numerical algorithm for space-time fractional partial differential equations including two types of fractional derivatives4
Optimal fourth-order parameter-uniform convergence of a non-monotone scheme on equidistributed meshes for singularly perturbed reaction–diffusion problems4
Pseudo S-asymptotically ω -antiperiodic solutions for high-order Hopfield neural networks4
Existence and blow up time estimate for a nonlinear Cauchy problem with variable exponents: theory and numerics4
A convex combination-based derivative-free projection algorithm for finding solutions of constrained nonlinear equations with signal recovery applications4
A Bayesian regularization radial basis neural network novel procedure for the fractional economic and environmental system4
A non-classical sinc-collocation method for the solution of singular boundary value problems arising in physiology4
Efficient pricing and calibration of high-dimensional basket options4
A computational method for the singularly perturbed delay pseudo-parabolic differential equations on adaptive mesh4
A space-time Galerkin Müntz spectral method for the time fractional Fokker–Planck equation4
B-spline wavelets series solution for the class of singular IVPs of fourth-order Emden–Fowler equations4
The majorization minimization algorithm for solving nonconvex generalized Nash equilibrium problems4
A moving mesh method for quenching problem4
The measure pseudo almost-periodicty and automorphy in HOHNNs with time-varying delays4
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 coefficien4
A random mathematical model to describe the antibiotic resistance depending on the antibiotic consumption: the Acinetobacter baumannii colistin-resistant case in Valenci3
A new options pricing method: semi-stochastic kernel regression method with constraints3
A priori mesh grading in collocation solution of noncompact Volterra integral equations with diagonal singularity3
Numerical solution to 3D bilinear Fokker–Planck control problem3
A novel semi-analytic algorithm for evaluation of nearly singular integrals in boundary element analysis3
Generalized multistep Steffensen iterative method. Solving the model of a photomultiplier device3
A second order difference method combined with time two-grid algorithm for two-dimensional time-fractional Fisher equation3
Modelling and filtering for dynamic investment in the precious-metals market3
A modified extended Fletcher–Reeves conjugate gradient method with an application in image restoration3
Fractional second linear multistep methods: the explicit forms for solving fractional differential equations and stability analysis3
Theoretical analysis of second-order modified upwind conservative characteristic finite difference for advection diffusion equations3
A numerical optimization scheme for solving systems of fractional-order differential equations3
Numerical method for two-dimensional linearly elastic clamped plate model3
A novel efficient numerical solution of Laplace equation with mixed boundary conditions3
Majorant series for theN-body problem3
FDM-PINN: Physics-informed neural network based on fictitious domain method3
Multisymplectic Hamiltonian variational integrators3
Error estimate of a finite difference method for the nonlinear distributed-ordered diffusion equation on staggered grids3
Global observability for a class of ψ -Riemann-Liouville time-fractional systems of order from one to two3
A new class of positive linear operators and their improvement: theory and numerical experiments3
Parameter regulation and interaction trajectory of the (3+1)-dimensional nonlinear evolution equations3
A convergent numerical scheme to a McKendrick–von Foerster equation with diffusion3
A two-grid virtual element method for nonlinear variable-order time-fractional diffusion equation on polygonal meshes3
RETRACTED ARTICLE: Mathematical techniques and applications of linear differential equation3
A hybrid approach based on Legendre wavelet for numerical simulation of Helmholtz equation with complex solution2
Dimension analysis for Caputo-fractional derivative of spline fractal interpolation function2
Maximum likelihood estimation for a stochastic SEIR system with a COVID-19 application2
Influence of delay and white noise on a population model with prey-commensalism and cooperative hunting of predators2
Spectral approximation for nonlinear time fractional Schrödinger equation on graded meshes2
A mass-lumping finite element method for radially symmetric solution of a multidimensional semilinear heat equation with blow-up2
Discontinuous Galerkin for the wave equation: a simplified a priori error analysis2
A maximum bound principle preserving and energy-stable second-order Leap-Frog finite difference scheme for the Allen–Cahn equation with a general mobility2
Analysis of finite element method for unsteady convection reaction-diffusion problem with discontinuous data2
Studying a cylindrical moving boundary problem in ductal carcinoma in situ2
High-order numerical algorithms for the time-fractional convection–diffusion equation2
Nonlinearly preconditioned semismooth Newton algorithms for nonlinear nonsmooth systems2
Ulam type stability for first-order linear and nonlinear impulsive fuzzy differential equations2
On the numerical solution of time fractional Black-Scholes equation2
Modified Legendre rational and exponential collocation methods for solving nonlinear Hammerstein integral equations on the semi-infinite domain2
Numerical solution and analysis of extended Fisher–Kolmogorov equation using an improved collocation algorithm2
A fast compact finite difference scheme for the fourth-order diffusion-wave equation2
Numerical method for solving the fractional evolutionary model of bi-flux diffusion processes2
Superconvergence error analysis of discontinuous Galerkin method with interior penalties for 2D elliptic convection – diffusion – reaction problems2
Kaczmarz-type methods for solving matrix equations2
Numerical analysis of singularly perturbed parabolic reaction diffusion differential difference equations2
Efficient parallel Monte-Carlo techniques for pricing American options including counterparty credit risk2
A computational approach for solving fractional Volterra integral equations based on two-dimensional Haar wavelet method2
Linear anchored Gaussian mixture model for location and width computations of objects in thick line shape2
Global stability and sensitivity analysis of dengue transmission using four host and three vector classes along with control strategies2
On the simultaneous reconstruction of the initial diffusion time and source term for the time-fractional diffusion equation2
A parallel high-order accuracy algorithm for the Helmholtz equations2
RBF–based IMEX finite difference schemes for pricing option under liquidity switching2
Analysis of a robust implicit scheme for space–time fractional stochastic nonlinear diffusion wave model2
Enhancing numerical performance by enforcing discrete maximum principle with stabilized term for the Allen–Cahn equation with high-order polynomial free energy2
Optical solutions to the extended (3+1)-dimensional cubic-quintic nonlinear conformable Schrödinger equation via two effective algorithms2
Hermite-type collocation methods for volterra integral equations with weakly singular highly oscillatory Fourier kernels2
Two-step Runge–Kutta methods for Volterra integro-differential equations2
Linear and nonlinear Dirichlet–Neumann methods in multiple subdomains for the Cahn–Hilliard equation2
Breathers, interactions between breathers and lumps for a (3 + 1)-dimensional nonlinear evolution equation for the shallow-water waves2
Richardson extrapolation for the iterated Galerkin solution of Urysohn integral equations with Green's kernels2
The virtual element method for solving two-dimensional fractional cable equation on general polygonal meshes2
A space-time second-order method based on modified two-grid algorithm with second-order backward difference formula for the extended Fisher–Kolmogorov equation2
On mild solutions of the p-Laplacian fractional Langevin equations with anti-periodic type boundary conditions2
Finite-time guaranteed cost control for stochastic nonlinear switched systems with time-varying delays and reaction-diffusion2
Numerical solution of two-dimensional nonlinear Volterra integral equations of the first kind using operational matrices of hybrid functions2
An inverse problem for the damped generalized regularized long wave equation2
Laplace based physical informed neural network for the time-fractional partial differential equations2
Novel methodological and computational techniques for uncertainty quantification in diabetes short-term management models using real data2
Energy dissipation law of the variable time-step fractional BDF2 scheme for the time fractional molecular beam epitaxial model2
Computing p th root of a transition matrix with a deep unsupervised learning approach2
A new high-accuracy difference method for nonhomogeneous time-fractional Schrödinger equation2
Estimating stresses driving tissue flows using a stokes inverse problem2
A novel approach based on mixed exponential compact finite difference and OHA methods for solving a class of nonlinear singular boundary value problems2
A new approach on the stability and convergence of a time-space nonuniform finite difference approximation of a degenerate Kawarada problem2
The enhanced boundary knot method with fictitious sources for solving Helmholtz-type equations1
On SMSNSSOR iteration method for solving complex symmetric linear systems1
Continuous attractors of fuzzy coupled recurrent neural networks1
Editorial1
Low tubal rank tensor completion based on singular value factors1
A fast computational technique to solve fourth-order parabolic equations: application to good Boussinesq, Euler-Bernoulli and Benjamin-Ono equations1
A new high-order compact and conservative numerical scheme for the generalized symmetric regularized long wave equations1
Numerical investigation of the mesh-free collocation approach for solving third kind VIEs with nonlinear vanishing delays1
On reconstruction of binary images by efficient sample-based parameterization in applications for electrical impedance tomography1
A novel second-order nonstandard finite difference method preserving dynamical properties of a general single-species model1
An efficient algorithm to compute the X-ray transform1
Prescribed time convergence and robust zeroing neural network for solving time-varying linear matrix equation1
Impulsive effects on stochastic bidirectional associative memory neural networks with reaction-diffusion and leakage delays1
Numerical approximations based on sextic B-spline functions for solving fourth-order singular problems1
New spectral LS conjugate gradient method for nonlinear unconstrained optimization1
Parameter uniform fitted mesh finite difference scheme for elliptical singularly perturbed problems with mixed shifts in two dimensions1
Long-time numerical properties analysis of a diffusive SIS epidemic model under a linear external source1
RETRACTED ARTICLE: A cubic B-spline quasi-interpolation method for solving hyperbolic partial differential equations1
Singular stochastic Volterra integral equations with Mittag–Leffler kernels: well-posedness and strong convergence of θ-Maruyama method1
A mollification regularization method with Dirichlet kernel to solve potential-free field inverse Schrödinger Cauchy problem1
H fault detection and control of Takagi–Sugeno continuous-time conic-type nonlinear systems1
Numerical investigation of sixth-order BDF compact difference scheme for viscous Burgers' equations1
Exemplar-based large-scale low-rank matrix decomposition for collaborative prediction1
A gradient-based calibration method for the Heston model1
Retraction: Enhancing Mortgage Rate Prediction: A Comprehensive Evaluation of Computational Statistical Approaches1
The stability and dissipativity of neutral stochastic delay systems with Markovian switching1
On the numerical solution of a population growth model of a species living in a closed system based on the moving least squares scheme1
Numerical performances based artificial neural networks to deal with the computer viruses spread on the complex networks1
Ana priorierror analysis of thehp-version of theC0-continuous Petrov-Galerkin method for nonlinear second-order delay differential equations1
A new and efficient fixed point method for mean curvature denoising model1
Numerical approach for nonlinear Volterra integro-differential equations based on barycentric rational interpolation1
An ADI finite difference method for the two-dimensional Volterra integro-differential equation with weakly singular kernel1
A degree-based topological optimization method for triangular meshes1
Integer cum fractional ordered active-adaptive synchronization to control vasospasm in chaotic blood vessels to reduce risk of COVID-19 infections1
Approaches that take into account interactions between parameters: pure (fuzzy) soft sets1
Ionic flux calculation by an extended Goldman-Hodgkin-Katz equation accounting for nonlinear ion channel electrostatics1
Local discontinuous Galerkin methods with implicit–explicit BDF time marching for Newell–Whitehead–Segel equations1
Numerical computation for rogue waves in the coupled nonlinear Schrödinger equations with the coherent coupling effect1
Streamlined numerical solutions of burgers' equations bridging the tailored finite point method and the Cole Hopf transformation1
Legendre collocation method for new generalized fractional advection-diffusion equation1
Chaotic behaviour, bifurcation, and stability analysis of the time-fractional phi-four model using the Hirota bilinear form1
High precision barycentric interpolation collocation method to solve EFK equation1
A fast implicit difference scheme for solving high-dimensional time-space fractional nonlinear Schrödinger equation1
Numerical similarity solutions for a class of Kolmogorov-type equations1
Numerical solution for three-dimensional nonlinear mixed Volterra–Fredholm integral equations via modified moving least-square method1
On Z-fractional differential equations1
Numerical solution of linear time-fractional Kuramoto-Sivashinsky equation via quintic B -splines1
An efficient finite-element method and error analysis for the fourth-order elliptic equation in a circular domain1
Theoretical and numerical study of a skeletal muscle regeneration model with inflammatory response1
Local convergence analysis of a novel derivative-free method with and without memory for solving nonlinear systems1
Solving time-fractional Schrödinger equation via the numerical method on extended space–time sparse grid1
Evaluation of shallow water waves modelled by the Rosenau-Kawahara equation using pseudo-compact finite difference approach1
Threshold behaviour of a stochastic vector plant model for tomato yellow curl leaves disease: a study based on mathematical analysis and simulation1
Interaction characteristics of the Riemann wave propagation in the (2+1)-dimensional generalized breaking soliton system1
Efficient calibration of the shifted square-root diffusion model to credit default swap spreads using asymptotic approximations1
Randomization of short-rate models, analytic pricing and flexibility in controlling implied volatilities*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 polynomials1
A numerical scheme for time-fractional Allen–Cahn equation with application in phase separation1
Efficiency energy-preserving cosine pseudo-spectral algorithms for the sine-Gordon equation with Neumann boundary conditions1
Convergence guarantees for gradient descent in deep neural networks with non-convex loss functions1
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