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 2020-04-01 to 2024-04-01.)

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
The solution of fuzzy variational problem and fuzzy optimal control problem under granular differentiability concept	21
A novel approach to soft set theory in decision-making under uncertainty	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
Trigonometric quinticB-spline collocation method for singularly perturbed turning point boundary value problems	16
A noise-tolerant fast convergence ZNN for dynamic matrix inversion	16
Ω-soft sets and medical decision-making application	15
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
Solving generalized polynomial problem by using new affine relaxed technique	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
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
A variable step-size fourth-derivative hybrid block strategy for integrating third-order IVPs, with applications	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 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
Drift-preserving numerical integrators for stochastic Poisson systems	8
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
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
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
A self-singularity-capturing scheme for fractional differential 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
Quantum α-fractal approximation	4
Some new soliton solutions and dynamical behaviours of (3+1)-dimensional Jimbo-Miwa equation	4
Identification of the forcing term in hyperbolic equations	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 novel evolutionary optimization algorithm inspired in the intelligent behaviour of the hunter spider	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
A new reproducing kernel method for Duffing equations	4
Dynamics of virus-patch model with latent effect	4
An LT-BEM for an unsteady diffusion-convection problem of another class of anisotropic FGMs	4
Impulsive effects on stochastic bidirectional associative memory neural networks with reaction-diffusion and leakage delays	4
On the numerical solution of time fractional Black-Scholes equation	4
A randomized trapezoidal quadrature	4
The investigation of exact solutions of Korteweg-de vries equation with dual power law nonlinearity using the exp_aand exp (− Φ (ξ)) methods	4
A uniformly convergent scheme for two-parameter problems having layer behaviour	4
Iterative regularization methods for solving equilibrium problems	4
Numerical treatment of singular integral equation in unbounded domain	4
S-iterative algorithm for solving variational inequalities	4
An integration preconditioning method for solving option pricing problems	4
Smoothing techniques in solving non-Lipschitz absolute value equations	4
Modified inertial extragradient methods for finding minimum-norm solution of the variational inequality problem with applications to optimal control problem	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
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
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