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 2021-11-01 to 2025-11-01.)

Article	Citations
Convergence and stability of modified partially truncated Euler-Maruyama method for stochastic differential equations with piecewise continuous arguments	27
Fourth-order exponential time differencing Runge–Kutta scheme and local meshless method to investigate unsteady diffusion–convection problems of anisotropic functionally graded materials	25
A study on mild solutions for multi-term time fractional measure differential equations	25
Parameter estimation in models generated by SDEs with symmetric alpha-stable noise	21
New three-term conjugate gradient algorithm for solving monotone nonlinear equations and signal recovery problems	19
Maximum bound principle preserving nonuniform L1 scheme for space–time fractional Allen–Cahn equation	16
Analysis of SLBPS node-based model by Schur complement technique	16
An efficient off-step spline algorithm for wave simulation of nonlinear Kuramoto–Sivashinsky and Korteweg-de Vries equations	13
A stable pressure-correction MAC scheme for the fluid-Poroelastic material interaction problem	13
Analysis of a stochastic model for a prey–predator system with an indirect effect	13
An optimization method for solving a general class of the inverse system of nonlinear fractional order PDEs	12
A high resolution Legendre wavelet method for sub-diffusion problems on a star-shaped connected graph	11
An accurate kernel functions-based method for coupled advection-diffusion-reaction models under Neumann, periodic, and no flux conditions	11
Series solution and Chebyshev collocation method for the initial value problem of Emden-Fowler equation	10
Approximating solutions of the generalized modification of the system of equilibrium problems and fixed point problem of a nonexpansive mapping	10
Analyzing the HIV infection dynamics: a numerical study of mathematical model,incorporating the Atangana-Baleanu fractional operator by using the Sumudu transform method	10
A Galerkin approach to solitary wave propagation for the second-order nonlinear evolution equation based on quartic B-spline functions	10
Moore-Gibson-Thompson thermoelasticity with second gradient	9
Numerical simulation of a fractional Davey–Stewartson model via a conservative scheme: preservation of mass, energy and momenta	9
Mathematical and numerical simulation of a nonlinear thermoelastic system	9
The scaled Laguerre method for solving nonlinear optimal control problems with Volterra integral equations over a large time interval	9
Forward starting options pricing under a regime-switching jump-diffusion model with Wishart stochastic volatility and stochastic interest rate	8
A numerical scheme to solve mixed parabolic-elliptic problem involving singular perturbation	8
Interactional solutions of the extended nonlinear Schrödinger equation with higher-order operators	8
Meshless method and shifted Chebyshev polynomials for solving a class of VIEs of the third kind	8

On an inversion-free algorithm for the nonlinear matrix problem Xα+A∗X−βA+B∗X−γB=I,	8
Building erudition in the wound healing process: an inflammation model analysis	8
Convergence and stability of split-step θ methods for stochastic variable delay differential equations	7
Smoothing techniques in solving non-Lipschitz absolute value equations	7
The a priori and a posteriori error estimates of Crouzeix–Raviart element for the fluid–solid vibration problem	7
Euler–Maruyama methods for Caputo tempered fractional stochastic differential equations	7
Borel control and efficient numerical techniques to solve the Allen–Cahn equation governed by temporal multiplicative noise	7
On the numerical solution of weakly singular integral equations of the first kind using a regularized projection method	7
Stability robust for fractional generalized multi-dimensional state–space models	7
Correction	7
Uniform error bound of an explicit exponential wave integrator Fourier pseudo-spectral method for the long-time dynamics of the nonlinear Schrödinger equation with wave operator	7
Hesitant fuzzy parameterized hesitant fuzzy soft sets and their applications in decision-making	7
Numerical strategies for recursive least squares solutions to the matrix equation AX = B	6
On sparse spectral Jacobi method for highly oscillatory integrals	6
A fast third order algorithm for two dimensional inhomogeneous fractional parabolic partial differential equations	6
The method of fundamental solutions for solving direct and inverse Signorini problems in elasticity	6
Existence, uniqueness and stability of semilinear nonautonomous impulsive systems on time scales	6
A novel mixed spectral approximation for fourth-order problems with Neumann boundary conditions	6
A numerical method based on the piecewise Chebyshev cardinal functions for a class of third-kind nonlinear fractional integro-differential equations	6
Accelerated computations of sensitivities for xVA*	6
A meshless quasi-interpolation method for solving hyperbolic conservation laws based on the essentially non-oscillatory reconstruction	6
Application-oriented numerical computation and optimization–a celebration of 60 years of the IJCM	6
Euler wavelets operational matrix of integration and its application in the calculus of variations	6
Projection and modified projection methods for nonlinear Hammerstein integral equations on the real line using Hermite polynomials	6
A nonmonotone adaptive trust region technique with a forgetting factor	6
Non-autonomous chemostat models with non-monotonic growth	6
The robust numerical schemes for two-dimensional elliptical singularly perturbed problems with space shifts	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
Fractional Chebyshev cardinal wavelets: application for fractional quadratic integro-differential equations	5
B-spline wavelets series solution for the class of singular IVPs of fourth-order Emden–Fowler equations	5
Numerical discretization of the Navier–Stokes equations with power-law stick-slip boundary condition	5
Numerical simulation of high-dimensional two-component reaction–diffusion systems with fractional derivatives	5
A single timescale stochastic quasi-Newton method for stochastic optimization	5
Stability of the analytic solution and the partially truncated Euler–Maruyama method for a class of stochastic Volterra integro-differential equations with non-globally Lipschitz continuous coefficien	5
Symmetries and solutions for the inviscid oceanic Rossby wave equation	5
Computationally efficient techniques for spatial regression with differential regularization	5
Truncated Euler–Maruyama method for stochastic differential equations driven by fractional Brownian motion with super-linear drift coefficient	5
Modified inertial extragradient methods for finding minimum-norm solution of the variational inequality problem with applications to optimal control problem	5
H ¹ -norm error estimate of a compact ADI finite difference scheme for the 2 D multi-term time-fractional convection-diffusion	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
A computational method for the singularly perturbed delay pseudo-parabolic differential equations on adaptive mesh	4
The SEIRS-C model of information diffusion based on rumour spreading with fuzzy logic in social networks	4
A space-time Galerkin Müntz spectral method for the time fractional Fokker–Planck equation	4
Pseudo S-asymptotically ω -antiperiodic solutions for high-order Hopfield neural networks	4
A moving mesh method for quenching problem	4
Existence and blow up time estimate for a nonlinear Cauchy problem with variable exponents: theory and numerics	4
A novel conformable Laplace transform for conformable fractional Lane–Emden type equations	4
The majorization minimization algorithm for solving nonconvex generalized Nash equilibrium problems	4
Finite difference approximation of time-fractional advection-diffusion equation on a metric star graph	4
Modification of numerical algorithm for space-time fractional partial differential equations including two types of fractional derivatives	4

A convex combination-based derivative-free projection algorithm for finding solutions of constrained nonlinear equations with signal recovery applications	4
A Bayesian regularization radial basis neural network novel procedure for the fractional economic and environmental system	4
Numerical simulation and machine learning approach of Eyring-Powell dusty hybrid nanofluid flow of solar thermal applications	4
The measure pseudo almost-periodicty and automorphy in HOHNNs with time-varying delays	4
Efficient pricing and calibration of high-dimensional basket options	4
A modified extended Fletcher–Reeves conjugate gradient method with an application in image restoration	3
A new options pricing method: semi-stochastic kernel regression method with constraints	3
RETRACTED ARTICLE: Mathematical techniques and applications of linear differential equation	3
Error estimate of a finite difference method for the nonlinear distributed-ordered diffusion equation on staggered grids	3
Parameter regulation and interaction trajectory of the (3+1)-dimensional nonlinear evolution equations	3
The fractional stochastic Black-Scholes equation versus artificial neural networks: a comparative study of option pricing on the masi index	3
A convergent numerical scheme to a McKendrick–von Foerster equation with diffusion	3
A two-grid virtual element method for nonlinear variable-order time-fractional diffusion equation on polygonal meshes	3
FDM-PINN: Physics-informed neural network based on fictitious domain method	3
Theoretical analysis of second-order modified upwind conservative characteristic finite difference for advection diffusion equations	3
Optimal fourth-order parameter-uniform convergence of a non-monotone scheme on equidistributed meshes for singularly perturbed reaction–diffusion problems	3
A descent hybridization of the Polak–Ribière–Polyak and Fletcher–Reeves conjugate gradient methods with applications to nonnegative matrix factorization and compressive sensing	3
A novel semi-analytic algorithm for evaluation of nearly singular integrals in boundary element analysis	3
Fractional second linear multistep methods: the explicit forms for solving fractional differential equations and stability analysis	3
Numerical solution to 3D bilinear Fokker–Planck control problem	3
Regularized moving least squares meshless method for solving three-dimensional Fredholm integral equations on 3D irregular domain	3
Hall-influenced 3D rotating flow of MHD ([GO-MoS ₂ /Na-Alg] ^h ) hybrid nanofluid over an expanding surface with activation energy	3
A non-classical sinc-collocation method for the solution of singular boundary value problems arising in physiology	3
Modelling and filtering for dynamic investment in the precious-metals market	3
A random mathematical model to describe the antibiotic resistance depending on the antibiotic consumption: the Acinetobacter baumannii colistin-resistant case in Valenci	3
Global observability for a class of ψ -Riemann-Liouville time-fractional systems of order from one to two	3
Generalized multistep Steffensen iterative method. Solving the model of a photomultiplier device	3
Numerical method for two-dimensional linearly elastic clamped plate model	3
A priori mesh grading in collocation solution of noncompact Volterra integral equations with diagonal singularity	3
Multisymplectic Hamiltonian variational integrators	3
Fast compact difference schemes with temporally graded meshes for the high-dimensional time-fractional subdiffusion equation	3