Enhanced fifth-kind Chebyshev polynomial Petrov–Galerkin algorithm for time-fractional Fokker–Planck equation

E Magdy, AG Atta, GM Moatimid… - … Journal of Modern …, 2024 - ideas.repec.org
This paper employs a numerical method for the numerical treatment of the time fractional
Fokker–Planck equation. This method is based on applying the spectral Petrov–Galerkin …

A novel hybrid method with convergence analysis for approximation of HTLV-I dynamics model

M Molavi-Arabshahi, J Rashidinia, M Yousefi - Scientific Reports, 2024 - nature.com
This paper presents a novel numerical approach for approximating the solution of the model
describing the infection of CD 4+ T-cells by the human T-cell lymphotropic virus I (HTLV-I) …

[HTML][HTML] Galerkin-finite difference method for fractional parabolic partial differential equations

MS Hossan, T Datta, MS Islam - MethodsX, 2024 - Elsevier
The fractional form of the classical diffusion equation embodies the super-diffusive and sub-
diffusive characteristics of any flow, depending on the fractional order. This study aims to …

An accurate numerical technique for solving fractional advection–diffusion equation with generalized Caputo derivative

AM Nagy, K Issa - Zeitschrift für angewandte Mathematik und Physik, 2024 - Springer
In this article, we propose a numerical technique for obtaining an approximate solution of the
fractional advection–diffusion equation involving a generalized Caputo derivative. This …

Application-oriented numerical computation and optimization–a celebration of 60 years of the IJCM

E Asante-Asamani, Q Sheng, BA Wade… - International Journal of …, 2024 - Taylor & Francis
On a usual rainy day in early May 1964, the first issue of the International Journal of
Computer Mathematics (IJCM) was published in London, Great Britain. Apparently …