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	32
A study on mild solutions for multi-term time fractional measure differential equations	31
Fourth-order exponential time differencing Runge–Kutta scheme and local meshless method to investigate unsteady diffusion–convection problems of anisotropic functionally graded materials	28
Analysis of SLBPS node-based model by Schur complement technique	22
Maximum bound principle preserving nonuniform L1 scheme for space–time fractional Allen–Cahn equation	20
Parameter estimation in models generated by SDEs with symmetric alpha-stable noise	18
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
An accurate kernel functions-based method for coupled advection-diffusion-reaction models under Neumann, periodic, and no flux conditions	15
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	14
A stable pressure-correction MAC scheme for the fluid-Poroelastic material interaction problem	13
Analyzing the HIV infection dynamics: a numerical study of mathematical model,incorporating the Atangana-Baleanu fractional operator by using the Sumudu transform method	13
Analysis of a stochastic model for a prey–predator system with an indirect effect	12
The scaled Laguerre method for solving nonlinear optimal control problems with Volterra integral equations over a large time interval	11
A compact direct RBF-PU method for nonlinear volterra integro-differential equations with tempered kernels	11
Series solution and Chebyshev collocation method for the initial value problem of Emden-Fowler equation	11
Moore-Gibson-Thompson thermoelasticity with second gradient	10
Numerical simulation of a fractional Davey–Stewartson model via a conservative scheme: preservation of mass, energy and momenta	10
Approximating solutions of the generalized modification of the system of equilibrium problems and fixed point problem of a nonexpansive mapping	10
Mathematical and numerical simulation of a nonlinear thermoelastic system	9
Convergence and stability of split-step θ methods for stochastic variable delay differential equations	9
Building erudition in the wound healing process: an inflammation model analysis	9
Forward starting options pricing under a regime-switching jump-diffusion model with Wishart stochastic volatility and stochastic interest rate	9
Correction	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
Smoothing techniques in solving non-Lipschitz absolute value equations	8
Meshless method and shifted Chebyshev polynomials for solving a class of VIEs of the third kind	8
Borel control and efficient numerical techniques to solve the Allen–Cahn equation governed by temporal multiplicative noise	8
On the numerical solution of weakly singular integral equations of the first kind using a regularized projection method	8
Euler–Maruyama methods for Caputo tempered fractional stochastic differential equations	8
Stability robust for fractional generalized multi-dimensional state–space models	8
Quadratic immersed finite element approximation of elliptic interface problem in circular and spherical domains	8
A numerical method based on the piecewise Chebyshev cardinal functions for a class of third-kind nonlinear fractional integro-differential equations	7
Numerical strategies for recursive least squares solutions to the matrix equation AX = B	7
Analysis of three finite element iterative methods for the stationary magneto-micropolar equations	7
On sparse spectral Jacobi method for highly oscillatory integrals	7
Euler wavelets operational matrix of integration and its application in the calculus of variations	7
The robust numerical schemes for two-dimensional elliptical singularly perturbed problems with space shifts	7
The method of fundamental solutions for solving direct and inverse Signorini problems in elasticity	7
Accelerated computations of sensitivities for xVA*	7
Application-oriented numerical computation and optimization–a celebration of 60 years of the IJCM	7
Exploring the bifurcation analysis, chaotic dynamics and noise-induce stochastic fluctuations in tumour microenvironment	7
Projection and modified projection methods for nonlinear Hammerstein integral equations on the real line using Hermite polynomials	6
Computationally efficient techniques for spatial regression with differential regularization	6
Existence, uniqueness and stability of semilinear nonautonomous impulsive systems on time scales	6
A meshless quasi-interpolation method for solving hyperbolic conservation laws based on the essentially non-oscillatory reconstruction	6
Numerical simulation of high-dimensional two-component reaction–diffusion systems with fractional derivatives	6
A novel mixed spectral approximation for fourth-order problems with Neumann boundary conditions	6
Truncated Euler–Maruyama method for stochastic differential equations driven by fractional Brownian motion with super-linear drift coefficient	6
Non-autonomous chemostat models with non-monotonic growth	6
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
Moving least squares Genocchi-collocation scheme for fractal-fractional integro-differential equations	5
A space-time Galerkin Müntz spectral method for the time fractional Fokker–Planck equation	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
Fractional Chebyshev cardinal wavelets: application for fractional quadratic integro-differential equations	5
A nonmonotone adaptive trust region technique with a forgetting factor	5
Modified inertial extragradient methods for finding minimum-norm solution of the variational inequality problem with applications to optimal control problem	5
A fast third order algorithm for two dimensional inhomogeneous fractional parabolic partial differential equations	5
Existence and blow up time estimate for a nonlinear Cauchy problem with variable exponents: theory and numerics	5
HTGAN: heavy-tail GAN for multivariate dependent extremes via latent-dimensional control	5
A decoupled finite element algorithm for multi-layer mixed-dimensional model in porous media with a fault and surrounding damage zones	5
B-spline wavelets series solution for the class of singular IVPs of fourth-order Emden–Fowler 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
Approximations of Caputo fractional order derivatives by ψ -Bernstein–Kantorovich operators and simulations on real-world datasets	5
Analytical solution of a generalized fractional diffusion–advection equation	5
A single timescale stochastic quasi-Newton method for stochastic optimization	5
Numerical discretization of the Navier–Stokes equations with power-law stick-slip boundary condition	4
An analysis on the time optimal control results for Hilfer fractional neutral stochastic integro-differential inclusions with Clarke's subdifferential type	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
The measure pseudo almost-periodicty and automorphy in HOHNNs with time-varying delays	4
Numerical simulation and machine learning approach of Eyring-Powell dusty hybrid nanofluid flow of solar thermal applications	4
Symmetries and solutions for the inviscid oceanic Rossby wave equation	4
A Bayesian regularization radial basis neural network novel procedure for the fractional economic and environmental system	4

An investigation of an accurate numerical method for solving nonlinear physiological models using Chebyshev-based quasilinearization	4
A moving mesh method for quenching problem	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-	4
A computational method for the singularly perturbed delay pseudo-parabolic differential equations on adaptive mesh	4
The majorization minimization algorithm for solving nonconvex generalized Nash equilibrium problems	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
Pseudo S-asymptotically ω -antiperiodic solutions for high-order Hopfield neural networks	4
Kink, kink-lump, kink-breather and rough wave soliton solutions of the (3 + 1)-dimensional space-time fractional Jimbo-Miwa equation	3
Hermite-type collocation methods for volterra integral equations with weakly singular highly oscillatory Fourier kernels	3
A neural network optimization scheme for fractional economic and environmental mathematical model	3
A fast compact finite difference scheme for the fourth-order diffusion-wave equation	3
An accurate and unconditionally stable cubic B-splines method for the time-fractional KdV–Burgers’ equation: comparative analysis with existing schemes	3
A new class of positive linear operators and their improvement: theory and numerical experiments	3
The fractional stochastic Black-Scholes equation versus artificial neural networks: a comparative study of option pricing on the masi index	3
Global observability for a class of ψ -Riemann-Liouville time-fractional systems of order from one to two	3
A convergent numerical scheme to a McKendrick–von Foerster equation with diffusion	3
RETRACTED ARTICLE: Mathematical techniques and applications of linear differential equation	3
A modified extended Fletcher–Reeves conjugate gradient method with an application in image restoration	3
A novel semi-analytic algorithm for evaluation of nearly singular integrals in boundary element analysis	3
A compact ADI difference scheme for a 2D multiterm time-fractional convection diffusion equation subjected to weakly singular solution	3
Robust finite-time non-fragile memory feedback control for uncertain systems with external disturbance	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
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
Hall-influenced 3D rotating flow of MHD ([GO-MoS 2 /Na-Alg] h ) hybrid nanofluid over an expanding	3
Modelling tumour micro-scale dynamics via virtual element methods on polygonized square and disk domains	3
A priori mesh grading in collocation solution of noncompact Volterra integral equations with diagonal singularity	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
A random mathematical model to describe the antibiotic resistance depending on the antibiotic consumption: the Acinetobacter baumannii colistin-resistant	3
Fast compact difference schemes with temporally graded meshes for the high-dimensional time-fractional subdiffusion equation	3
Numerical method for two-dimensional linearly elastic clamped plate model	3
Numerical solution and analysis of extended Fisher–Kolmogorov equation using an improved collocation algorithm	3
Two-step Runge–Kutta methods for Volterra integro-differential equations	3
An inertial iterative method for common solution of a pair of variational inequality problems	3
Maximum likelihood estimation for a stochastic SEIR system with a COVID-19 application	3
Parameter regulation and interaction trajectory of the (3+1)-dimensional nonlinear evolution equations	3
A second order difference method combined with time two-grid algorithm for two-dimensional time-fractional Fisher equation	3
A new options pricing method: semi-stochastic kernel regression method with constraints	3
Theoretical analysis of second-order modified upwind conservative characteristic finite difference for advection diffusion equations	3
A two-grid virtual element method for nonlinear variable-order time-fractional diffusion equation on polygonal meshes	3
Solving time-fractional inverse source problems using topological gradient methods	3
FDM-PINN: Physics-informed neural network based on fictitious domain method	3
Regularized moving least squares meshless method for solving three-dimensional Fredholm integral equations on 3D irregular domain	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
Novel methodological and computational techniques for uncertainty quantification in diabetes short-term management models using real data	2
A variational model for filtering wrapped phase maps with combined additive and multiplicative noise	2
A new high-accuracy difference method for nonhomogeneous time-fractional Schrödinger equation	2
Discontinuous Galerkin for the wave equation: a simplified a priori error analysis	2
Numerical simulation of pattern and chaos dynamic behaviour in the fractional-order-in-time Lengyel-Epstein reaction-diffusion system	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
Computing p th root of a transition matrix with a deep unsupervised learning approach	2
Multilevel Monte Carlo method based on multigrid discretizations for stochastic eigenvalue problem	2
Global stability and sensitivity analysis of dengue transmission using four host and three vector classes along with control strategies	2
On improving the applicability of some higher-order iterative processes	2
Higher-order root-finding algorithm and its applications	2
A conservative fourth-order compact linearized difference scheme for the generalized Gardner equation with variable coefficients	2
Estimating stresses driving tissue flows using a stokes inverse problem	2
Resonant multiple soliton, non-singular complexiton and singular complexiton solutions to the (3+1)-dimensional shallow water wave equation	2
Linear anchored Gaussian mixture model for location and width computations of objects in thick line shape	2
A novel second-order nonstandard finite difference method preserving dynamical properties of a general single-species model	2
The efficient element-free Galerkin method for 3D variable wave number Helmholtz equations	2
Finite-time guaranteed cost control for stochastic nonlinear switched systems with time-varying delays and reaction-diffusion	2
Enhancing numerical performance by enforcing discrete maximum principle with stabilized term for the Allen–Cahn equation with high-order polynomial free energy	2
Analysis of a robust implicit scheme for space–time fractional stochastic nonlinear diffusion wave model	2
Automated segmentation of heart-rate time series in elite female futsal players: a threshold-based method to detect Rest, Activation, Exercise and Recovery phases	2
The role of insurance in investment strategies	2
RBF–based IMEX finite difference schemes for pricing option under liquidity switching	2
A new approach on the stability and convergence of a time-space nonuniform finite difference approximation of a degenerate Kawarada problem	2
Optical solutions to the extended (3+1)-dimensional cubic-quintic nonlinear conformable Schrödinger equation via two effective algorithms	2
A parallel high-order accuracy algorithm for the Helmholtz equations	2
On the simultaneous reconstruction of the initial diffusion time and source term for the time-fractional diffusion equation	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
Exact simulation of the 3/2 stochastic volatility model with stochastic jump intensity	2
Numerical method for solving the fractional evolutionary model of bi-flux diffusion processes	2
Influence of delay and white noise on a population model with prey-commensalism and cooperative hunting of predators	2
Numerical approach for nonlinear Volterra integro-differential equations based on barycentric rational interpolation	2
Linear and nonlinear Dirichlet–Neumann methods in multiple subdomains for the Cahn–Hilliard equation	2
Dimension analysis for Caputo-fractional derivative of spline fractal interpolation function	2
Analysis of finite element method for unsteady convection reaction-diffusion problem with discontinuous data	2

Superconvergence error analysis of discontinuous Galerkin method with interior penalties for 2D elliptic convection – diffusion – reaction problems	2
An accelerated derivative-free method using Picard-Krasnoselskii iterative process with applications in motion control	2
Kaczmarz-type methods for solving matrix equations	2
Energy dissipation law of the variable time-step fractional BDF2 scheme for the time fractional molecular beam epitaxial model	2
A cell structure implementation of the multigrid method for the three-dimensional diffusion equation	2
Robust H ∞ performance for uncertain stochastic switched inertial neural networks with time-varying delay under a novel st	2
Nonlinearly preconditioned semismooth Newton algorithms for nonlinear nonsmooth systems	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
Mathematical insights into fractal-fractional model of Tomato Yellow Leaf Curl disease	2
On the numerical solution of a population growth model of a species living in a closed system based on the moving least squares scheme	2
The virtual element method for solving two-dimensional fractional cable equation on general polygonal meshes	2
Inverse source problems for multi-term time-fractional diffusion equation in spherical regions	2
Studying a cylindrical moving boundary problem in ductal carcinoma in situ	2
Solving time-fractional Schrödinger equation via the numerical method on extended space–time sparse grid	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
Efficient parallel Monte-Carlo techniques for pricing American options including counterparty credit risk	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
Numerical investigation of sixth-order BDF compact difference scheme for viscous Burgers' equations	1
Local discontinuous Galerkin methods with implicit–explicit BDF time marching for Newell–Whitehead–Segel equations	1
Exemplar-based large-scale low-rank matrix decomposition for collaborative prediction	1
A new family of means: the generalized weighted power means and applications	1
Legendre collocation method for new generalized fractional advection-diffusion equation	1
Ionic flux calculation by an extended Goldman-Hodgkin-Katz equation accounting for nonlinear ion channel electrostatics	1
Hilfer derivatives based on the multivariate Mittag-Leffler functions and applications	1
H ∞ fault detection and control of Takagi–Sugeno continuous-time conic-type nonlinear systems	1
Predictive modeling and intervention strategies for COVID-19 spread estimation using machine learning and computational intelligence techniques	1
The stability and dissipativity of neutral stochastic delay systems with Markovian switching	1
Solving nonlinear problems via a class of multi-step iteration methods	1
High precision barycentric interpolation collocation method to solve EFK equation	1
Adaptation and assessement of projected Nesterov accelerated gradient flow to compute stationary states of nonlinear Schrödinger equations	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
Theoretical and numerical study of a skeletal muscle regeneration model with inflammatory response	1
An improved discretization method of boundary conditions in peridynamic differential operator	1
A fast computational technique to solve fourth-order parabolic equations: application to good Boussinesq, Euler-Bernoulli and Benjamin-Ono equations	1
Laguerre spectral method for time fractional mixed diffusion-wave equations with weak singularity	1
An efficient projected Tikhonov method for large-scale discrete ill-posed problems	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
Efficient calibration of the shifted square-root diffusion model to credit default swap spreads using asymptotic approximations	1
On SMSNSSOR iteration method for solving complex symmetric linear systems	1
Retraction: Enhancing Mortgage Rate Prediction: A Comprehensive Evaluation of Computational Statistical Approaches	1
The enhanced boundary knot method with fictitious sources for solving Helmholtz-type equations	1
Threshold behaviour of a stochastic vector plant model for tomato yellow curl leaves disease: a study based on mathematical analysis and simulation	1
Long-time numerical properties analysis of a diffusive SIS epidemic model under a linear external source	1
Two linearized maximum bound principle preserving finite difference schemes of Riesz space-fractional Allen-Cahn equations with logarithmic free energy	1
A fast implicit difference scheme for solving high-dimensional time-space fractional nonlinear Schrödinger equation	1
Higher-order breather, lump and hybrid solutions of (2 + 1)-dimensional coupled nonlinear evolution equations with time-dependent coefficients	1
Prescribed time convergence and robust zeroing neural network for solving time-varying linear matrix equation	1
Continuous attractors of fuzzy coupled recurrent neural networks	1
Barrier option pricing and hedging model under stochastic conditions	1
Numerical similarity solutions for a class of Kolmogorov-type equations	1
An optimized hybrid block method for solving nonlinear singularly perturbed problems using non-uniform Jain-type meshes	1
Numerical performances based artificial neural networks to deal with the computer viruses spread on the complex networks	1
An iterative method to solve the time delay optimal control problem with bounded control variable	1
Numerical investigation of the mesh-free collocation approach for solving third kind VIEs with nonlinear vanishing delays	1
Finite element analysis of chemotaxis-growth model with indirect attractant production and logistic source	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
Exponential stability of pseudo asymptotically ω -periodic solution for delayed Cohen-Grossberg neural networks with double measure	1
A numerical scheme for time-fractional Allen–Cahn equation with application in phase separation	1
Optimizing the conjugate gradient algorithm and its diverse applications	1
Deep wavelet neural network with lateral connections for solving fractional differential equations arising in oil pollution dynamics	1
Streamlined numerical solutions of burgers' equations bridging the tailored finite point method and the Cole Hopf transformation	1
Numerical solution of 2D distributed-order fractional cable equation on regular and irregular domains based on the spectral element method	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
Local convergence analysis of a novel derivative-free method with and without memory for solving nonlinear systems	1
Editorial	1
Numerical solution of linear time-fractional Kuramoto-Sivashinsky equation via quintic B -splines	1
A new and efficient fixed point method for mean curvature denoising model	1
New spectral LS conjugate gradient method for nonlinear unconstrained optimization	1
Interaction characteristics of the Riemann wave propagation in the (2+1)-dimensional generalized breaking soliton system	1
Parameter uniform fitted mesh finite difference scheme for elliptical singularly perturbed problems with mixed shifts in two dimensions	1
Preconditioning of pseudospectral method for high-order differential equations	1
Integer cum fractional ordered active-adaptive synchronization to control vasospasm in chaotic blood vessels to reduce risk of COVID-19 infections	1
A BDF2 method for a singularly perturbed transport equation	1
A gradient-based calibration method for the Heston model	1
A dynamical analysis of fractional order hepatitis B virus transmission model with vaccine effects	1
Low tubal rank tensor completion based on singular value factors	1
Dynamics of a stochastic nutrient-plankton system with seasonal fluctuation and toxin-producing phytoplankton	1
Chaotic behaviour, bifurcation, and stability analysis of the time-fractional phi-four model using the Hirota bilinear form	1
A multi-domain Galerkin method with numerical integration for the Burgers equation	1
Singular stochastic Volterra integral equations with Mittag–Leffler kernels: well-posedness and strong convergence of θ-Maruyama method	1
A new high-order compact and conservative numerical scheme for the generalized symmetric regularized long wave equations	1
Mesh-free mixed finite element approximation for nonlinear time-fractional biharmonic problem using weighted b -splines	1
Regret bounds for online interval-valued convex optimization	1
SUPG-YZβcomputation of chemically reactive convection-dominated nonlinear models	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
Controllability of semilinear fractional-order delay systems: theory and numerical simulations	1
Convergence guarantees for gradient descent in deep neural networks with non-convex loss functions	1
Existence, uniqueness, and neural network approximation for non-local Riemann fractional q -integro differential equations	1
RETRACTED ARTICLE: A cubic B-spline quasi-interpolation method for solving hyperbolic partial differential equations	1
Numerical simulation of fourth-order Volterra partial integro-differential equations using subdivision and trapezoidal rules	1
Randomization of short-rate models, analytic pricing and flexibility in controlling implied volatilities*	1