Mathematical Sciences

Papers
(The TQCC of Mathematical Sciences is 6. 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 2021-12-01 to 2025-12-01.)
ArticleCitations
An algorithm for the Burgers’ equation using barycentric collocation method with a high-order exponential Lie-group scheme32
Finite-time stability in measure for nabla uncertain discrete linear fractional order systems29
An explicit two-stage truncated Runge–Kutta method for nonlinear stochastic differential equations20
Improved Dai-Yuan iterative schemes for convex constrained monotone nonlinear systems16
Numerical solution of Coupled Viscous Burgers’ equations using RBF-QR method16
Traveling fronts of viscous Burgers’ equations with the nonlinear degenerate viscosity15
Numerical Hilbert space solution of fractional Sobolev equation in $$\left(1+1\right)$$-dimensional space13
Iterative algorithms for common fixed points of a countable family of quasi-nonexpansive multivalued mappings in CAT(0) spaces13
A numerical method for nonlinear fractional reaction–advection–diffusion equation with piecewise fractional derivative12
An adaptive finite element method for Riesz fractional partial integro-differential equations10
A numerical method based on hybrid functions for solving a fractional model of HIV infection of CD4$$^+$$ T cells10
Deterministic modelling of optimal control strategies for dengue fever transmission in two interconnected patches9
A new Chelyshkov matrix method to solve linear and nonlinear fractional delay differential equations with error analysis9
Filter design based on the fractional Fourier transform associated with new convolutions and correlations9
A new adaptive Levenberg–Marquardt parameter with a nonmonotone and trust region strategies for the system of nonlinear equations8
Space-time pseudospectral method for the variable-order space-time fractional diffusion equation7
Solvability of some fractional differential equations in the Hölder space $${\mathcal {H}}_{\gamma }(\mathbb {R_+})$$ and their numerical treatment via measures of noncompactness7
Existence of the solution of nonlinear fractional differential equations via new best proximity point results6
On the modeling and numerical discretizations of a chaotic system via fractional operators with and without singular kernels6
Application of numerical solution of linear Fredholm integral equation of the first kind for image restoration6
A high-order numerical method for solving nonlinear derivative-dependent singular boundary value problems using trigonometric B-spline basis function6
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