Mathematical Sciences

Papers
(The TQCC of Mathematical Sciences is 5. 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 2021-04-01 to 2025-04-01.)
ArticleCitations
A new Chelyshkov matrix method to solve linear and nonlinear fractional delay differential equations with error analysis31
The maximal positive definite solution of the nonlinear matrix equation $$X + A^{*}X^{-1}A+B^{*}X^{-1}B = I $$29
A numerical method based on hybrid functions for solving a fractional model of HIV infection of CD4$$^+$$ T cells27
Approximation of fixed points for a class of mappings satisfying property (CSC) in Banach spaces22
Compact operators on spaces of binomial fractional difference sequences20
Gaussian radial basis function and quadrature Sinc method for two-dimensional space-fractional diffusion equations15
Electronic spectrum of linear Schrodinger equations by Sinc-Galerkin and Sinc-Collocation methods14
A Taylor–Chebyshev approximation technique to solve the 1D and 2D nonlinear Burgers equations13
A modified semi-oriented radial measure to deal with negative and stochastic data: an application in banking industry13
Advanced shifted sixth-kind Chebyshev tau approach for solving linear one-dimensional hyperbolic telegraph type problem12
A numerical scheme based on Gegenbauer wavelets for solving a class of relaxation–oscillation equations of fractional order12
Correction to: A note on linear non-Newtonian Volterra integral equations12
Application of numerical solution of linear Fredholm integral equation of the first kind for image restoration10
Lyapunov-type inequality and existence of solution for a nonlinear fractional differential equation with anti-periodic boundary conditions10
Correction to: Nonlinear dynamics of the Burgers’ equation and numerical experiments9
An algorithm for the Burgers’ equation using barycentric collocation method with a high-order exponential Lie-group scheme9
Integration of the RLW equation using higher-order predictor–corrector scheme and quintic B-spline collocation method9
Existence of the solution of nonlinear fractional differential equations via new best proximity point results9
Efficient sixth-order finite difference method for the two-dimensional nonlinear wave equation with variable coefficient8
Improving decision-making units in performance analysis methods: a data envelopment analysis approach8
Numerical solution of fractional pantograph equations via Müntz–Legendre polynomials8
On discrete fractional-order Lotka-Volterra model based on the Caputo difference discrete operator8
Robust bivariate polynomials scheme with convergence analysis for two-dimensional nonlinear optimal control problem7
An adaptive finite element method for Riesz fractional partial integro-differential equations7
Spectral collocation method for solving multi-term fractional integro-differential equations with nonlinear integral6
Approximate techniques to solve the partial integro-differential equation arising in operational risk: Adomian decomposition method6
Perfect 2-colorings of the Johnson graph J(9, 4)6
On decomposition of generalized Riemannian symmetric spaces and complete lifts of Clifford translations6
Hedging of options for jump-diffusion stochastic volatility models by Malliavin calculus5
High-order exponentially fitted and trigonometrically fitted explicit two-derivative Runge–Kutta-type methods for solving third-order oscillatory problems5
Highly accurate solutions for space–time fractional Schrödinger equations with non-smooth continuous solution using the hybrid clique functions5
The exact solutions of the conformable time fractional version of the generalized Pochhammer–Chree equation5
Correction to: Numerical methods for solving Schröinger equations in complex reproducing kernel Hilbert spaces5
A continuous kernel functions method for mixed-type functional differential equations5
A note on linear non-Newtonian Volterra integral equations5
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