International Journal of Computer Mathematics

Article	Citations
Firefly optimization-based segmentation technique to analyse medical images of breast cancer	25
Rational solutions, and the interaction solutions to the (2 + 1)-dimensional time-dependent Date–Jimbo–Kashiwara–Miwa equation	25
Periodic wave solutions and stability analysis for the (3+1)-D potential-YTSF equation arising in fluid mechanics	24
Darboux dressing transformation and superregular breathers for a coupled nonlinear Schrödinger system with the negative coherent coupling in a weakly birefringent fibre	24
Identification and prediction of time-varying parameters of COVID-19 model: a data-driven deep learning approach	24
Spectral analysis of three invariants associated to random walks on rounded networks with 2n-pentagons	24
Convergence analysis of an L1-continuous Galerkin method for nonlinear time-space fractional Schrödinger equations	24
A novel approach to soft set theory in decision-making under uncertainty	21
The solution of fuzzy variational problem and fuzzy optimal control problem under granular differentiability concept	21
Major 2 Satisfiability Logic in Discrete Hopfield Neural Network	20
Breather, lump, shock and travelling-wave solutions for a (3+1)-dimensional generalized Kadomtsev–Petviashvili equation in fluid mechanics and plasma physics	18
A novel computing stochastic algorithm to solve the nonlinear singular periodic boundary value problems	17
A new efficient algorithm based on fifth-kind Chebyshev polynomials for solving multi-term variable-order time-fractional diffusion-wave equation	17
A noise-tolerant fast convergence ZNN for dynamic matrix inversion	16
Trigonometric quinticB-spline collocation method for singularly perturbed turning point boundary value problems	16
Ω-soft sets and medical decision-making application	15
Solving generalized polynomial problem by using new affine relaxed technique	14
Two meshless methods based on pseudo spectral delta-shaped basis functions and barycentric rational interpolation for numerical solution of modified Burgers equation	14
A robust numerical scheme for singularly perturbed parabolic reaction-diffusion problems via the method of lines	14
A computational approach for solving fractional Volterra integral equations based on two-dimensional Haar wavelet method	14
Hybrid breather and rogue wave solution for a (2 + 1)-dimensional ferromagnetic spin chain system with variable coefficients	13
Interaction characteristics of the Riemann wave propagation in the (2+1)-dimensional generalized breaking soliton system	13
An adaptive one-point second-derivative Lobatto-type hybrid method for solving efficiently differential systems	13
An inertial proximal alternating direction method of multipliers for nonconvex optimization	12
A derivative-free three-term Hestenes–Stiefel type method for constrained nonlinear equations and image restoration	12

A high-order unconditionally stable numerical method for a class of multi-term time-fractional diffusion equation arising in the solute transport models	12
An efficient real representation method for least squares problem of the quaternion constrained matrix equation AXB + CY D = E	12
Characteristics of lump-kink and their fission-fusion interactions, rogue, and breather wave solutions for a (3+1)-dimensional generalized shallow water equation	12
Convergence analysis of the higher-order global mass-preserving numerical method for the symmetric regularized long-wave equation	11
A modified Hager-Zhang conjugate gradient method with optimal choices for solving monotone nonlinear equations	11
Multiple rogue wave solutions for a variable-coefficient Kadomtsev–Petviashvili equation	11
On the fractional calculus of multivariate Mittag-Leffler functions	11
Some new dynamical behaviour of double breathers and lump-N-solitons for the Ito equation	10
Newton-like methods and polynomiographic visualization of modified Thakur processes	10
A variable step-size fourth-derivative hybrid block strategy for integrating third-order IVPs, with applications	9
Lie group integrators for mechanical systems	9
Error analysis of a time fourth-order exponential wave integrator Fourier pseudo-spectral method for the nonlinear Dirac equation	9
A modified fractional Landweber method for a backward problem for the inhomogeneous time-fractional diffusion equation in a cylinder	9
A high-order implicit–explicit Runge–Kutta type scheme for the numerical solution of the Kuramoto–Sivashinsky equation	9
Hesitant fuzzy parameterized hesitant fuzzy soft sets and their applications in decision-making	9
An effective approach for solving a class of nonlinear singular boundary value problems arising in different physical phenomena	9
Drift-preserving numerical integrators for stochastic Poisson systems	8
Kadomtsev–Petviashvili hierarchy reduction, soliton and semi-rational solutions for the (3+1)-dimensional generalized variable-coefficient shallow water wave equation in a fluid	8
A globally convergent projection method for a system of nonlinear monotone equations	8
A new numerical scheme for third-order singularly Emden–Fowler equations using quintic B-spline function	8
A spectral conjugate gradient projection algorithm to solve the large-scale system of monotone nonlinear equations with application to compressed sensing	7
Robust septic Hermite collocation technique for singularly perturbed generalized Hodgkin–Huxley equation	7
Virtual element method for nonlinear convection–diffusion–reaction equation on polygonal meshes	7
A new fixed point iteration method for nonlinear third-order BVPs	7
Lump and interaction solutions for a generalized (3 + 1)-dimensional propagation model of nonlinear waves in fluid dynamics	7
QuadraticB-spline collocation method for two-parameter singularly perturbed problem on exponentially graded mesh	6
Three wave mixing effect in the (2+1)-dimensional Ito equation	6
A robust pseudospectral method for numerical solution of nonlinear optimal control problems	6
High-order numerical solution of viscous Burgers' equation using an extended Cole–Hopf barycentric Gegenbauer integral pseudospectral method	6
A new efficient algorithm for finding common fixed points of multivalued demicontractive mappings and solutions of split generalized equilibrium problems in Hilbert spaces	6
Computational modelling and bifurcation analysis of reaction diffusion epidemic system with modified nonlinear incidence rate	6
Numerical study of generalized modified Caputo fractional differential equations	6
A hybrid approach based on Legendre wavelet for numerical simulation of Helmholtz equation with complex solution	6
Taylor collocation method for a system of nonlinear Volterra delay integro-differential equations with application to COVID-19 epidemic	5
A modified numerical algorithm based on fractional Euler functions for solving time-fractional partial differential equations	5
Turing instability and Hopf bifurcation for a diffusion-plankton system with cell size	5
Modified Legendre rational and exponential collocation methods for solving nonlinear Hammerstein integral equations on the semi-infinite domain	5
Convergence and numerical solution of nonlinear generalized Benjamin–Bona–Mahony–Burgers equation in 2D and 3D via generalized finite difference method	5
Optimal fourth-order parameter-uniform convergence of a non-monotone scheme on equidistributed meshes for singularly perturbed reaction–diffusion problems	5
An efficient finite-element method and error analysis for the fourth-order elliptic equation in a circular domain	5
Fourth-order alternating direction implicit difference scheme to simulate the space-time Riesz tempered fractional diffusion equation	5
Smoothing techniques in solving non-Lipschitz absolute value equations	4
Interactional solutions of the extended nonlinear Schrödinger equation with higher-order operators	4
Hermitian and skew-Hermitian splitting methods for solving a tensor equation	4
Approaches that take into account interactions between parameters: pure (fuzzy) soft sets	4
A self-singularity-capturing scheme for fractional differential equations	4
Quantum α-fractal approximation	4
Identification of the forcing term in hyperbolic equations	4
Efficient BBFM-collocation for weakly singular oscillatory Volterra integral equations of the second kind	4
Convergence and stability of exponential integrators for semi-linear stochastic variable delay integro-differential equations	4

Some new soliton solutions and dynamical behaviours of (3+1)-dimensional Jimbo-Miwa equation	4
A novel robust fixed-time convergent zeroing neural network for solving time-varying noise-polluted nonlinear equations	4
Vector breather waves and higher-order rouge waves to the coupled higher-order nonlinear Schrödinger equations	4
A C0 virtual element method for the biharmonic eigenvalue problem	4
A new reproducing kernel method for Duffing equations	4
A novel evolutionary optimization algorithm inspired in the intelligent behaviour of the hunter spider	4
An LT-BEM for an unsteady diffusion-convection problem of another class of anisotropic FGMs	4
On the numerical solution of time fractional Black-Scholes equation	4
High-order conservative scheme for the coupled space fractional nonlinear Schrödinger equations	4
A two-component modified Korteweg–de Vries equation: Riemann–Hilbert problem and multi-soliton solutions	4
Dynamics of virus-patch model with latent effect	4
Impulsive effects on stochastic bidirectional associative memory neural networks with reaction-diffusion and leakage delays	4
A randomized trapezoidal quadrature	4
The investigation of exact solutions of Korteweg-de vries equation with dual power law nonlinearity using the expaand exp (− Φ (ξ)) methods	4
A uniformly convergent scheme for two-parameter problems having layer behaviour	4
An integration preconditioning method for solving option pricing problems	4
Iterative regularization methods for solving equilibrium problems	4
Modified inertial extragradient methods for finding minimum-norm solution of the variational inequality problem with applications to optimal control problem	4
Numerical treatment of singular integral equation in unbounded domain	4
S-iterative algorithm for solving variational inequalities	4
Finite-time guaranteed cost control for stochastic nonlinear switched systems with time-varying delays and reaction-diffusion	3
Two-level method for a time-independent Fokker–Planck control problem	3
Numerical solution of two-point BVPs in infinite-horizon optimal control theory: a combined quasilinearization method with exponential Bernstein functions	3
Numerical solution for three-dimensional nonlinear mixed Volterra–Fredholm integral equations via modified moving least-square method	3
The SEIRS-C model of information diffusion based on rumour spreading with fuzzy logic in social networks	3
A compact subcell WENO limiting strategy using immediate neighbours for Runge-Kutta discontinuous Galerkin methods	3
The truncated Euler–Maruyama method for stochastic differential equations with piecewise continuous arguments driven by Lévy noise	3
An efficient ADI difference scheme for the nonlocal evolution equation with multi-term weakly singular kernels in three dimensions	3
Robust nonconforming polynomial finite elements over quadrilaterals	3
Existence, uniqueness and stability of semilinear nonautonomous impulsive systems on time scales	3
Convergence analysis of Galerkin and multi-Galerkin methods for nonlinear-Hammerstein integral equations on the half-line using Laguerre polynomials	3
Ulam type stability for first-order linear and nonlinear impulsive fuzzy differential equations	3
Asymptotical mean-square stability of linearθ-methods for stochastic pantograph differential equations: variable stepsize and transformation approach	3
A non-classical sinc-collocation method for the solution of singular boundary value problems arising in physiology	3
An evolutionary numerical method for solving nonlinear fractional Fredholm–Volterra–Hammerstein integro–differential–delay equations with a functional bound	3
N-solitons, lump solution and interaction phenomenon to the Boussinesq equation	3
A new high-order compact and conservative numerical scheme for the generalized symmetric regularized long wave equations	3
An extrapolated finite difference method for two-dimensional fractional boundary value problems with non-smooth solution	3
SUPG-YZβcomputation of chemically reactive convection-dominated nonlinear models	3
A novel ADI Galerkin spectral element method for the solution of two-dimensional time fractional subdiffusion equation	3
High-order compact scheme finite difference discretization for Signorini's problem	3
Mass conservative characteristic finite difference method for convection–diffusion equations	3
Numerical solutions for nonlinear multi-term fractional differential equations via Dickson operational matrix	3
Multisymplectic Hamiltonian variational integrators	3
A novel radial basis procedure for the SIRC epidemic delay differential model	3
A new preconditioning algorithm for finding a zero of the sum of two monotone operators and its application to image restoration problems	3
Exponential stability of a rotating Timoshenko beam under thermo-viscoelastic damping	3
Extragradient method and golden ratio method for equilibrium problems on Hadamard manifolds	3
Mixed trigonometric and hyperbolic subdivision scheme with two tension and one shape parameters	3
Collocation Runge–Kutta–Nyström methods for solving second-order initial value problems	3
The construction of a new operational matrix of the distributed-order fractional derivative using Chebyshev polynomials and its applications	3
Crank–Nicolson finite difference method for time-fractional coupled KdV equation	3
Fractional Chebyshev cardinal wavelets: application for fractional quadratic integro-differential equations	2
Syndicated venture capital portfolio companies selection: a fuzzy inference system – agent-based approach	2
Optimality conditions for a class ofE-differentiable vector optimization problems with interval-valued objective functions underE-invexity	2
Finite element analysis of chemotaxis-growth model with indirect attractant production and logistic source	2
Convergence and superconvergence analysis of energy-preserving Crank–Nicolson Galerkin method for the Benjamin–Bona–Mahony equation	2
Numerical solution of two-dimensional Fredholm–Hammerstein integral equations on 2D irregular domains by using modified moving least-square method	2
Numerical solution of general Emden–Fowler equation using Haar wavelet collocation method	2
Conservative difference scheme for fractional Zakharov system and convergence analysis	2
Finite difference schemes for time-fractional Schrödinger equations via fractional linear multistep method	2
A model and numerical investigation for rolling metal process using continuous finite element discretizations	2
Nonlinear spin dynamics of a couple of nonlinear Schrödinger's equations by the improved form of an analytical method	2
Mappings on abstract cellular complex and their applications in image analysis	2
A two-level method for image denoising and image deblurring models using mean curvature regularization	2
An ADI finite difference method for the two-dimensional Volterra integro-differential equation with weakly singular kernel	2
On reconstruction of binary images by efficient sample-based parameterization in applications for electrical impedance tomography	2
On the differential equations of recurrent neural networks	2
Error estimates of exponential wave integrator sine pseudospectral method for Schrödinger–Boussinesq system	2
Convergence and stability of the two classes of balanced Euler methods for stochastic differential equations with locally Lipschitz coefficients	2
Rational methods for solving first-order initial value problems	2
A novel conformable Laplace transform for conformable fractional Lane–Emden type equations	2
Stability of nonlinear stochastic Markov jump system with mode-dependent delays and applications	2
On the reliable and efficient numerical integration of the Kuramoto model and related dynamical systems on graphs	2
RETRACTED ARTICLE: A cubic B-spline quasi-interpolation method for solving hyperbolic partial differential equations	2
Spectral approximation for nonlinear time fractional Schrödinger equation on graded meshes	2
High-order numerical methods with mass and energy conservation for spin–orbit-coupled Bose–Einstein condensates	2
An indirect collocation method for variable-order fractional wave equations on uniform or graded meshes and its optimal error estimates	2
An adaptive least-squares finite element method for Giesekus viscoelastic flow problems	2
Numerical method for solving the fractional evolutionary model of bi-flux diffusion processes	2

A linearized ADI scheme for two-dimensional time-space fractional nonlinear vibration equations	2
The dynamical analysis of a low computational cost family of higher-order fractional iterative method	2
High-order orthogonal spline collocation method with graded meshes for two-dimensional fractional evolution integro-differential equation	2
Comparative analysis on the blow-up occurrence of solutions to Hadamard type fractional differential systems	2
Multi-projection methods for Fredholm integral equations of the first kind	2
The locking-free finite difference method based on staggered grids for the coupled Stokes–Biot problem	2
The numerical solution of inverse nodal problem for integro-differential operator by Legendre wavelet method	2
A fast compact difference scheme with unequal time-steps for the tempered time-fractional Black–Scholes model	2
Error analysis of reiterated projection methods for Hammerstein integral equations	2
Global-DGMRES method for matrix equationAXB = C	2
Alternating direction implicit method for singularly perturbed 2D parabolic convection–diffusion–reaction problem with two small parameters	2
An integral equation approach for pricing American put options under regime-switching model	2
A positive and bounded convergent scheme for general space-fractional diffusion-reaction systems with inertial times	2
Error analysis of a Haar wavelets-based numerical method with its application to a nonlinear fractional dengue model	2
Stability conditions concerning neutral-type BAM neural networks with infinite distributed delay	2
Discrete Legendre spectral methods for Hammerstein type weakly singular nonlinear Fredholm integral equations	2
A novel second-order nonstandard finite difference method preserving dynamical properties of a general single-species model	2
Threshold behaviour of a stochastic vector plant model for tomato yellow curl leaves disease: a study based on mathematical analysis and simulation	2
Error analysis of the unstructured mesh finite element method for the two-dimensional time-space fractional Schrödinger equation with a time-independent potential	2
Numerical valuation of Bermudan basket options via partial differential equations	2
MLPG method based on particular solution to identify a time-dependent boundary source for the time-fractional diffusion equation	2
Numerical solution to 3D bilinear Fokker–Planck control problem	2
Error estimates for Galerkin finite element approximations of time-fractional nonlocal diffusion equation	2
Parameter uniform fitted mesh finite difference scheme for elliptical singularly perturbed problems with mixed shifts in two dimensions	2
Two efficient Galerkin finite element methods for the modified anomalous subdiffusion equation	2
Compensated two-step Maruyama methods for stochastic differential equations with Poisson jumps	2
The cubic B-spline least-squares finite-element method for the numerical solutions of regularized long-wave equation	2
High-order numerical algorithms for the time-fractional convection–diffusion equation	2
Fourth order method to compute the volume of archaeological vessels using radial sections: Pintia pottery (Spain) as a case study	1
Galerkin spectral approximation for optimal control problem of a fourth-order equation with L2-norm control constraint	1
The new evidence reasoning based pharmaceutical inventory models with stochastic deterioration rates and lead times using PSO and GA	1
Numerical solution of linear time-fractional Kuramoto-Sivashinsky equation via quintic B -splines	1
Conservative second-order finite difference method for Camassa–Holm equation with periodic boundary condition	1
A novel method with convergence analysis based on the Jacobi wavelets for solving a system of two-dimensional Volterra integral equations	1
A convergence analysis of semi-discrete and fully-discrete nonconforming FEM for the parabolic obstacle problem	1
On Z-fractional differential equations	1
Breathers, interactions between breathers and lumps for a (3 + 1)-dimensional nonlinear evolution equation for the shallow-water waves	1
Numerical analysis of a dynamic viscoplastic contact problem	1
Superconvergence error analysis of discontinuous Galerkin method with interior penalties for 2D elliptic convection – diffusion – reaction problems	1
Characteristic mixed volume element for compressible two-phase displacement in porous media	1
Laguerre method for solving linear system of Fredholm integral equations	1
A fast implicit difference scheme for solving high-dimensional time-space fractional nonlinear Schrödinger equation	1
A class of modified GSS preconditioners for complex symmetric linear systems	1
A modified-upwind with block-centred finite difference scheme based on the two-grid algorithm for convection-diffusion-reaction equations	1
Explicit high-order structure-preserving algorithms for the two-dimensional fractional nonlinear Schrödinger equation	1
Efficient parallel Monte-Carlo techniques for pricing American options including counterparty credit risk	1
Analysis of Legendre pseudospectral approximations for nonlinear time fractional diffusion-wave equations	1
The a priori and a posteriori error estimates of Crouzeix–Raviart element for the fluid–solid vibration problem	1
An inertial extragradient method for iteratively solving equilibrium problems in real Hilbert spaces	1
Conservative compact difference scheme for the generalized Korteweg-de Vries equation	1
An efficient algorithm to compute the X-ray transform	1
Delay-range-dependent ℋ∞ synchronization approaches for time-delay chaotic systems	1
Reconstruction for shape and impedance in an inverse scattering problem	1
Numerical computation for rogue waves in the coupled nonlinear Schrödinger equations with the coherent coupling effect	1
Truncated Euler–Maruyama method for stochastic differential equations driven by fractional Brownian motion with super-linear drift coefficient	1
An explicit high-order compact finite difference scheme for the three-dimensional acoustic wave equation with variable speed of sound	1
Second-order nonlinear differential equations: existence, uniqueness and global exponential stability of doubly measure pseudo-almost automorphic solutions	1
Integer cum fractional ordered active-adaptive synchronization to control vasospasm in chaotic blood vessels to reduce risk of COVID-19 infections	1
Generalized SOR-like iteration method for solving weakly nonlinear systems	1
Numerical method for two-dimensional linearly elastic clamped plate model	1
An inverse problem for the damped generalized regularized long wave equation	1
Stabilization of non-autonomous infinite-dimensional systems depending on a parameter	1
A fourth-order numerical method for solving a class of derivative-dependent nonlinear singular boundary value problems	1
Dynamical behaviour of a tumour-immune model focusing on the dosage of targeted chemotherapeutic drug	1
Numerical solutions of strongly non-linear generalized Burgers–Fisher equation via meshfree spectral technique	1
Fractional second linear multistep methods: the explicit forms for solving fractional differential equations and stability analysis	1
Modification of numerical algorithm for space-time fractional partial differential equations including two types of fractional derivatives	1
Energy stable and convergent BDF3-5 schemes for the molecular beam epitaxial model with slope selection	1
A class of explicit–implicit alternating parallel difference methods for the two-dimensional Black–Scholes equation	1
Using 2D and 1D block-pulse functions simultaneously for solving the Barbashin integro-differential equations	1
A domain decomposition method of Schwarz waveform relaxation type for singularly perturbed nonlinear parabolic problems	1
A kind of operator regularization method for Cauchy problem of the Helmholtz equation in a multi-dimensional case	1
A numerical scheme to solve mixed parabolic-elliptic problem involving singular perturbation	1
Convergence analysis and error estimate of second-order implicit–explicit scheme for Gray-Scott model	1
An efficient extrapolation full multigrid method for elliptic problems in two and three dimensions	1
Solution of the generalized regularized long-wave equation with optimal spline collocation technique and implicit Crank–Nicolson as well as explicit SSP-RK43 scheme	1
Continuous attractors of fuzzy coupled recurrent neural networks	1
Evaluation of integrals with fractional Brownian motion for different Hurst indices	1
A Petrov-Galerkin spectral method for fractional convection–diffusion equations with two-sided fractional derivative	1
Numerical simulation of high-dimensional two-component reaction–diffusion systems with fractional derivatives	1
Flexible parameter selection methods for Rician noise removal with convergence guarantee	1
Multisymplectic structure-preserving scheme for the coupled Gross–Pitaevskii equations	1
L∞-norm convergence rates of an IMEX scheme for solving a partial integro-differential equation system arising from regime-switching jump-diffusion Asian option pricing	1
A novel efficient numerical solution of Laplace equation with mixed boundary conditions	1
Richardson extrapolation for the iterated Galerkin solution of Urysohn integral equations with Green's kernels	1
A new block preconditioner for weighted Toeplitz regularized least-squares problems	1
The calculation of the Mittag-Leffler function	1
Defect deferred correction method for two domain natural convection problem	1
RLC electric circuit model of fractional order: a Green's function approach	1
A posteriori error estimation and adaptive strategy for a nonlinear fractional differential equation	1
Forecasting the elasticity of variance with LSTM recurrent neural networks	1
On mild solutions of the p-Laplacian fractional Langevin equations with anti-periodic type boundary conditions	1
An hp-version spectral collocation method for multi-term nonlinear fractional initial value problems with variable-order fractional derivatives	1
Solving Fredholm integral inclusion for L-fuzzy mappings	1
How do Monte Carlo estimates affect stochastic geometric numerical integration?	1