OOIR: Observatory of International Research

Papers

(The TQCC of International Journal of Computer Mathematics is 3. 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 2022-08-01 to 2026-08-01.)

Article	Citations
Convergence and stability of modified partially truncated Euler-Maruyama method for stochastic differential equations with piecewise continuous arguments	33
Fourth-order exponential time differencing Runge–Kutta scheme and local meshless method to investigate unsteady diffusion–convection problems of anisotropic functionally graded materials	32
Analysis of SLBPS node-based model by Schur complement technique	29
Maximum bound principle preserving nonuniform L1 scheme for space–time fractional Allen–Cahn equation	22
An efficient off-step spline algorithm for wave simulation of nonlinear Kuramoto–Sivashinsky and Korteweg-de Vries equations	20
An accurate kernel functions-based method for coupled advection-diffusion-reaction models under Neumann, periodic, and no flux conditions	16
A high resolution Legendre wavelet method for sub-diffusion problems on a star-shaped connected graph	16
An optimization method for solving a general class of the inverse system of nonlinear fractional order PDEs	16
Analyzing the HIV infection dynamics: a numerical study of mathematical model,incorporating the Atangana-Baleanu fractional operator by using the Sumudu transform method	15
A stable pressure-correction MAC scheme for the fluid-Poroelastic material interaction problem	15
Analysis of a stochastic model for a prey–predator system with an indirect effect	13
New three-term conjugate gradient algorithm for solving monotone nonlinear equations and signal recovery problems	13
A study on mild solutions for multi-term time fractional measure differential equations	12
Approximating solutions of the generalized modification of the system of equilibrium problems and fixed point problem of a nonexpansive mapping	11
Building erudition in the wound healing process: an inflammation model analysis	11
The scaled Laguerre method for solving nonlinear optimal control problems with Volterra integral equations over a large time interval	11
Numerical simulation of a fractional Davey–Stewartson model via a conservative scheme: preservation of mass, energy and momenta	11
Series solution and Chebyshev collocation method for the initial value problem of Emden-Fowler equation	10
Mathematical and numerical simulation of a nonlinear thermoelastic system	10
Forward starting options pricing under a regime-switching jump-diffusion model with Wishart stochastic volatility and stochastic interest rate	10
Convergence and stability of split-step θ methods for stochastic variable delay differential equations	9
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	9
A compact direct RBF-PU method for nonlinear volterra integro-differential equations with tempered kernels	9
Euler–Maruyama methods for Caputo tempered fractional stochastic differential equations	9
Borel control and efficient numerical techniques to solve the Allen–Cahn equation governed by temporal multiplicative noise	9

Moore-Gibson-Thompson thermoelasticity with second gradient	9
Stability robust for fractional generalized multi-dimensional state–space models	9
Quadratic immersed finite element approximation of elliptic interface problem in circular and spherical domains	8
Meshless method and shifted Chebyshev polynomials for solving a class of VIEs of the third kind	8
On the numerical solution of weakly singular integral equations of the first kind using a regularized projection method	8
Correction	8
Application-oriented numerical computation and optimization–a celebration of 60 years of the IJCM	8
Smoothing techniques in solving non-Lipschitz absolute value equations	8
A numerical method based on the piecewise Chebyshev cardinal functions for a class of third-kind nonlinear fractional integro-differential equations	8
Euler wavelets operational matrix of integration and its application in the calculus of variations	8
Numerical strategies for recursive least squares solutions to the matrix equation AX = B	7
The method of fundamental solutions for solving direct and inverse Signorini problems in elasticity	7
A novel mixed spectral approximation for fourth-order problems with Neumann boundary conditions	7
A meshless quasi-interpolation method for solving hyperbolic conservation laws based on the essentially non-oscillatory reconstruction	7
Analytical solution of a generalized fractional diffusion–advection equation	7
The robust numerical schemes for two-dimensional elliptical singularly perturbed problems with space shifts	7
Projection and modified projection methods for nonlinear Hammerstein integral equations on the real line using Hermite polynomials	7
Analysis of three finite element iterative methods for the stationary magneto-micropolar equations	7
Non-autonomous chemostat models with non-monotonic growth	7
Truncated Euler–Maruyama method for stochastic differential equations driven by fractional Brownian motion with super-linear drift coefficient	7
Accelerated computations of sensitivities for xVA*	7
On sparse spectral Jacobi method for highly oscillatory integrals	7
Existence, uniqueness and stability of semilinear nonautonomous impulsive systems on time scales	7
Exploring the bifurcation analysis, chaotic dynamics and noise-induce stochastic fluctuations in tumour microenvironment	7
The development and analysis of a mesh-free technique for the solution of the heat conduction problems of the two-dimensional layered materials	7
Moving least squares Genocchi-collocation scheme for fractal-fractional integro-differential equations	6
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	6
Fractional Chebyshev cardinal wavelets: application for fractional quadratic integro-differential equations	6
Modified inertial extragradient methods for finding minimum-norm solution of the variational inequality problem with applications to optimal control problem	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	6
A decoupled finite element algorithm for multi-layer mixed-dimensional model in porous media with a fault and surrounding damage zones	6
HTGAN: heavy-tail GAN for multivariate dependent extremes via latent-dimensional control	6
A nonmonotone adaptive trust region technique with a forgetting factor	6
Computationally efficient techniques for spatial regression with differential regularization	6
A fast third order algorithm for two dimensional inhomogeneous fractional parabolic partial differential equations	6
A single timescale stochastic quasi-Newton method for stochastic optimization	6
Approximations of Caputo fractional order derivatives by ψ -Bernstein–Kantorovich operators and simulations on real-world datasets	5
A Bayesian regularization radial basis neural network novel procedure for the fractional economic and environmental system	5
An analysis on the time optimal control results for Hilfer fractional neutral stochastic integro-differential inclusions with Clarke's subdifferential type	5
Numerical simulation and machine learning approach of Eyring-Powell dusty hybrid nanofluid flow of solar thermal applications	5
Symmetries and solutions for the inviscid oceanic Rossby wave equation	5
Existence and blow up time estimate for a nonlinear Cauchy problem with variable exponents: theory and numerics	5
A convex combination-based derivative-free projection algorithm for finding solutions of constrained nonlinear equations with signal recovery applications	5
B-spline wavelets series solution for the class of singular IVPs of fourth-order Emden–Fowler equations	5
A computational method for the singularly perturbed delay pseudo-parabolic differential equations on adaptive mesh	5
Numerical discretization of the Navier–Stokes equations with power-law stick-slip boundary condition	5
H ¹ -norm error estimate of a compact ADI finite difference scheme for the 2 D multi-term time-	5
A moving mesh method for quenching problem	4
Regularized moving least squares meshless method for solving three-dimensional Fredholm integral equations on 3D irregular domain	4
A novel semi-analytic algorithm for evaluation of nearly singular integrals in boundary element analysis	4

The fractional stochastic Black-Scholes equation versus artificial neural networks: a comparative study of option pricing on the masi index	4
A modified extended Fletcher–Reeves conjugate gradient method with an application in image restoration	4
FDM-PINN: Physics-informed neural network based on fictitious domain method	4
The measure pseudo almost-periodicty and automorphy in HOHNNs with time-varying delays	4
Finite difference approximation of time-fractional advection-diffusion equation on a metric star graph	4
The majorization minimization algorithm for solving nonconvex generalized Nash equilibrium problems	4
Solving time-fractional inverse source problems using topological gradient methods	4
RETRACTED ARTICLE: Mathematical techniques and applications of linear differential equation	4
Modelling tumour micro-scale dynamics via virtual element methods on polygonized square and disk domains	4
A priori mesh grading in collocation solution of noncompact Volterra integral equations with diagonal singularity	4
A random mathematical model to describe the antibiotic resistance depending on the antibiotic consumption: the Acinetobacter baumannii colistin-resistant	4
A convergent numerical scheme to a McKendrick–von Foerster equation with diffusion	4
An investigation of an accurate numerical method for solving nonlinear physiological models using Chebyshev-based quasilinearization	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
A space-time Galerkin Müntz spectral method for the time fractional Fokker–Planck equation	4
Numerical analysis of a second-order method for a nonlinear diffusive SIR epidemic model with a saturated incidence rate in a heterogeneous environment	4
A compact ADI difference scheme for a 2D multiterm time-fractional convection diffusion equation subjected to weakly singular solution	4
Theoretical analysis of second-order modified upwind conservative characteristic finite difference for advection diffusion equations	4
Hall-influenced 3D rotating flow of MHD ([GO-MoS ₂ /Na-Alg] ^h ) hybrid nanofluid over an expanding	4
Global observability for a class of ψ -Riemann-Liouville time-fractional systems of order from one to two	4
A new options pricing method: semi-stochastic kernel regression method with constraints	4
Pseudo S-asymptotically ω -antiperiodic solutions for high-order Hopfield neural networks	4
Efficient pricing and calibration of high-dimensional basket options	4
A novel globally convergent parallel iteration method for large sparse implicit complementarity problems	3
A cell structure implementation of the multigrid method for the three-dimensional diffusion equation	3
A hybrid Meshless approach for solving the distributed-order fractional Klein-Gordon equation based on generalized moving least squares and finite difference method	3
Computing p th root of a transition matrix with a deep unsupervised learning approach	3
Kink, kink-lump, kink-breather and rough wave soliton solutions of the (3 + 1)-dimensional space-time fractional Jimbo-Miwa equation	3
A new class of positive linear operators and their improvement: theory and numerical experiments	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
A numerical optimization scheme for solving systems of fractional-order differential equations	3
Generalized multistep Steffensen iterative method. Solving the model of a photomultiplier device	3
A two-grid virtual element method for nonlinear variable-order time-fractional diffusion equation on polygonal meshes	3
A fast compact finite difference scheme for the fourth-order diffusion-wave equation	3
Robust finite-time non-fragile memory feedback control for uncertain systems with external disturbance	3
The role of insurance in investment strategies	3
Analysis of a robust implicit scheme for space–time fractional stochastic nonlinear diffusion wave model	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
Optical solutions to the extended (3+1)-dimensional cubic-quintic nonlinear conformable Schrödinger equation via two effective algorithms	3
Hermite-type collocation methods for volterra integral equations with weakly singular highly oscillatory Fourier kernels	3
Parameter regulation and interaction trajectory of the (3+1)-dimensional nonlinear evolution equations	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
Two-step Runge–Kutta methods for Volterra integro-differential equations	3
A second order difference method combined with time two-grid algorithm for two-dimensional time-fractional Fisher equation	3
Discontinuous Galerkin for the wave equation: a simplified a priori error analysis	3
A new approach on the stability and convergence of a time-space nonuniform finite difference approximation of a degenerate Kawarada problem	3
A parallel high-order accuracy algorithm for the Helmholtz equations	3
Numerical solution and analysis of extended Fisher–Kolmogorov equation using an improved collocation algorithm	3
Nonlinearly preconditioned semismooth Newton algorithms for nonlinear nonsmooth systems	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
Maximum likelihood estimation for a stochastic SEIR system with a COVID-19 application	3
A neural network optimization scheme for fractional economic and environmental mathematical model	3
An accurate and unconditionally stable cubic B-splines method for the time-fractional KdV–Burgers’ equation: comparative analysis with existing schemes	3
An inertial iterative method for common solution of a pair of variational inequality problems	3