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 2020-11-01 to 2024-11-01.)

Article	Citations
Spectral analysis of three invariants associated to random walks on rounded networks with 2n-pentagons	30
Identification and prediction of time-varying parameters of COVID-19 model: a data-driven deep learning approach	28
Rational solutions, and the interaction solutions to the (2 + 1)-dimensional time-dependent Date–Jimbo–Kashiwara–Miwa equation	28
Major 2 Satisfiability Logic in Discrete Hopfield Neural Network	26
A novel approach to soft set theory in decision-making under uncertainty	26
Darboux dressing transformation and superregular breathers for a coupled nonlinear Schrödinger system with the negative coherent coupling in a weakly birefringent fibre	26
Interaction characteristics of the Riemann wave propagation in the (2+1)-dimensional generalized breaking soliton system	21
A novel computing stochastic algorithm to solve the nonlinear singular periodic boundary value problems	20
A new efficient algorithm based on fifth-kind Chebyshev polynomials for solving multi-term variable-order time-fractional diffusion-wave equation	19
A noise-tolerant fast convergence ZNN for dynamic matrix inversion	17
Solving generalized polynomial problem by using new affine relaxed technique	16
An adaptive one-point second-derivative Lobatto-type hybrid method for solving efficiently differential systems	16
A robust numerical scheme for singularly perturbed parabolic reaction-diffusion problems via the method of lines	16
A derivative-free three-term Hestenes–Stiefel type method for constrained nonlinear equations and image restoration	15
A high-order unconditionally stable numerical method for a class of multi-term time-fractional diffusion equation arising in the solute transport models	15
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	14
Characteristics of lump-kink and their fission-fusion interactions, rogue, and breather wave solutions for a (3+1)-dimensional generalized shallow water equation	14
On the fractional calculus of multivariate Mittag-Leffler functions	13
A variable step-size fourth-derivative hybrid block strategy for integrating third-order IVPs, with applications	12
A new numerical scheme for third-order singularly Emden–Fowler equations using quintic B-spline function	11
A modified Hager-Zhang conjugate gradient method with optimal choices for solving monotone nonlinear equations	11
QuadraticB-spline collocation method for two-parameter singularly perturbed problem on exponentially graded mesh	11
An effective approach for solving a class of nonlinear singular boundary value problems arising in different physical phenomena	11
Lie group integrators for mechanical systems	10

Taylor collocation method for a system of nonlinear Volterra delay integro-differential equations with application to COVID-19 epidemic	9
A novel radial basis procedure for the SIRC epidemic delay differential model	9
Hesitant fuzzy parameterized hesitant fuzzy soft sets and their applications in decision-making	9
Error analysis of a time fourth-order exponential wave integrator Fourier pseudo-spectral method for the nonlinear Dirac equation	9
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 new fixed point iteration method for nonlinear third-order BVPs	8
Drift-preserving numerical integrators for stochastic Poisson systems	8
A fast compact finite difference scheme for the fourth-order diffusion-wave equation	8
Numerical study of generalized modified Caputo fractional differential equations	8
Robust septic Hermite collocation technique for singularly perturbed generalized Hodgkin–Huxley equation	7
Three wave mixing effect in the (2+1)-dimensional Ito equation	7
An efficient ADI difference scheme for the nonlocal evolution equation with multi-term weakly singular kernels in three dimensions	7
A spectral conjugate gradient projection algorithm to solve the large-scale system of monotone nonlinear equations with application to compressed sensing	7
High-order numerical solution of viscous Burgers' equation using an extended Cole–Hopf barycentric Gegenbauer integral pseudospectral method	7
Convergence and numerical solution of nonlinear generalized Benjamin–Bona–Mahony–Burgers equation in 2D and 3D via generalized finite difference method	7
Smoothing techniques in solving non-Lipschitz absolute value equations	7
SUPG-YZβcomputation of chemically reactive convection-dominated nonlinear models	7
Virtual element method for nonlinear convection–diffusion–reaction equation on polygonal meshes	7
Modified Legendre rational and exponential collocation methods for solving nonlinear Hammerstein integral equations on the semi-infinite domain	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
Optimal fourth-order parameter-uniform convergence of a non-monotone scheme on equidistributed meshes for singularly perturbed reaction–diffusion problems	6
An efficient finite-element method and error analysis for the fourth-order elliptic equation in a circular domain	6
A hybrid approach based on Legendre wavelet for numerical simulation of Helmholtz equation with complex solution	6
Vector breather waves and higher-order rouge waves to the coupled higher-order nonlinear Schrödinger equations	6
A new reproducing kernel method for Duffing equations	6
Fourth-order alternating direction implicit difference scheme to simulate the space-time Riesz tempered fractional diffusion equation	6
A novel robust fixed-time convergent zeroing neural network for solving time-varying noise-polluted nonlinear equations	6
A non-classical sinc-collocation method for the solution of singular boundary value problems arising in physiology	6
The SEIRS-C model of information diffusion based on rumour spreading with fuzzy logic in social networks	5
On the numerical solution of time fractional Black-Scholes equation	5
The construction of a new operational matrix of the distributed-order fractional derivative using Chebyshev polynomials and its applications	5
The investigation of exact solutions of Korteweg-de vries equation with dual power law nonlinearity using the exp_aand exp (− Φ (ξ)) methods	5
An integral equation approach for pricing American put options under regime-switching model	5
Modified inertial extragradient methods for finding minimum-norm solution of the variational inequality problem with applications to optimal control problem	5
Interactional solutions of the extended nonlinear Schrödinger equation with higher-order operators	5
Approaches that take into account interactions between parameters: pure (fuzzy) soft sets	5
An LT-BEM for an unsteady diffusion-convection problem of another class of anisotropic FGMs	5
Analyzing the time-fractional (3 + 1)-dimensional nonlinear Schrödinger equation: a new Kudryashov approach and optical solutions	5
A modified numerical algorithm based on fractional Euler functions for solving time-fractional partial differential equations	5
Numerical solution of two-point BVPs in infinite-horizon optimal control theory: a combined quasilinearization method with exponential Bernstein functions	5
A C⁰ virtual element method for the biharmonic eigenvalue problem	4
Identification of the forcing term in hyperbolic equations	4
Finite element analysis of chemotaxis-growth model with indirect attractant production and logistic source	4
Existence, uniqueness and stability of semilinear nonautonomous impulsive systems on time scales	4
A two-level method for image denoising and image deblurring models using mean curvature regularization	4
An evolutionary numerical method for solving nonlinear fractional Fredholm–Volterra–Hammerstein integro–differential–delay equations with a functional bound	4
The new evidence reasoning based pharmaceutical inventory models with stochastic deterioration rates and lead times using PSO and GA	4
Multisymplectic Hamiltonian variational integrators	4
A uniformly convergent scheme for two-parameter problems having layer behaviour	4
An optimization method for solving a general class of the inverse system of nonlinear fractional order PDEs	4

Stability of nonlinear stochastic Markov jump system with mode-dependent delays and applications	4
Fractional Chebyshev cardinal wavelets: application for fractional quadratic integro-differential equations	4
Efficient BBFM-collocation for weakly singular oscillatory Volterra integral equations of the second kind	4
Mass conservative characteristic finite difference method for convection–diffusion equations	4
A new high-order compact and conservative numerical scheme for the generalized symmetric regularized long wave equations	4
Impulsive effects on stochastic bidirectional associative memory neural networks with reaction-diffusion and leakage delays	4
Some new soliton solutions and dynamical behaviours of (3+1)-dimensional Jimbo-Miwa equation	4
Numerical solution for three-dimensional nonlinear mixed Volterra–Fredholm integral equations via modified moving least-square method	4
An extrapolated finite difference method for two-dimensional fractional boundary value problems with non-smooth solution	4
Extragradient method and golden ratio method for equilibrium problems on Hadamard manifolds	4
Collocation Runge–Kutta–Nyström methods for solving second-order initial value problems	4
Numerical treatment of singular integral equation in unbounded domain	4
Dynamics of virus-patch model with latent effect	4
A randomized trapezoidal quadrature	4
Iterative regularization methods for solving equilibrium problems	4
Mixed trigonometric and hyperbolic subdivision scheme with two tension and one shape parameters	3
High-order conservative scheme for the coupled space fractional nonlinear Schrödinger equations	3
RLC electric circuit model of fractional order: a Green's function approach	3
Finite-time guaranteed cost control for stochastic nonlinear switched systems with time-varying delays and reaction-diffusion	3
Legendre collocation method for new generalized fractional advection-diffusion equation	3
Alternating direction implicit method for singularly perturbed 2D parabolic convection–diffusion–reaction problem with two small parameters	3
Exemplar-based large-scale low-rank matrix decomposition for collaborative prediction	3
A computational method for the singularly perturbed delay pseudo-parabolic differential equations on adaptive mesh	3
N-solitons, lump solution and interaction phenomenon to the Boussinesq equation	3
A new preconditioning algorithm for finding a zero of the sum of two monotone operators and its application to image restoration problems	3
A novel second-order nonstandard finite difference method preserving dynamical properties of a general single-species model	3
A linearized ADI scheme for two-dimensional time-space fractional nonlinear vibration equations	3
Parameter uniform fitted mesh finite difference scheme for elliptical singularly perturbed problems with mixed shifts in two dimensions	3
Convergence analysis of Galerkin and multi-Galerkin methods for nonlinear-Hammerstein integral equations on the half-line using Laguerre polynomials	3
Asymptotical mean-square stability of linearθ-methods for stochastic pantograph differential equations: variable stepsize and transformation approach	3
Numerical solutions for nonlinear multi-term fractional differential equations via Dickson operational matrix	3
Numerical solutions of strongly non-linear generalized Burgers–Fisher equation via meshfree spectral technique	3
The locking-free finite difference method based on staggered grids for the coupled Stokes–Biot problem	3
Exponential stability of a rotating Timoshenko beam under thermo-viscoelastic damping	3
The cubic B-spline least-squares finite-element method for the numerical solutions of regularized long-wave equation	3
High-order orthogonal spline collocation method with graded meshes for two-dimensional fractional evolution integro-differential equation	3
Crank–Nicolson finite difference method for time-fractional coupled KdV equation	3
The numerical solution of inverse nodal problem for integro-differential operator by Legendre wavelet method	3
Ulam type stability for first-order linear and nonlinear impulsive fuzzy differential equations	3
On an inversion-free algorithm for the nonlinear matrix problem Xα+A∗X−βA+B∗X−γB=I,	3
Discrete Legendre spectral methods for Hammerstein type weakly singular nonlinear Fredholm integral equations	3
Spectral approximation for nonlinear time fractional Schrödinger equation on graded meshes	3
Optimality conditions for a class ofE-differentiable vector optimization problems with interval-valued objective functions underE-invexity	3
A fast compact difference scheme with unequal time-steps for the tempered time-fractional Black–Scholes model	3