The Analysis of Fractional‐Order Proportional Delay Physical Models via a Novel Transform

M Alesemi, N Iqbal, AA Hamoud - Complexity, 2022 - Wiley Online Library
In this paper, we deal with an alternative analytical analysis of fractional‐order partial
differential equations with proportional delay, achieved by applying Yang decomposition …

Fast iterative method with a second-order implicit difference scheme for time-space fractional convection–diffusion equation

XM Gu, TZ Huang, CC Ji, B Carpentieri… - Journal of Scientific …, 2017 - Springer
In this paper we intend to establish fast numerical approaches to solve a class of initial-
boundary problem of time-space fractional convection–diffusion equations. We present a …

A numerical solution of fractional reaction–convection–diffusion for modeling PEM fuel cells based on a meshless approach

VR Hosseini, AA Mehrizi, H Karimi-Maleh… - … Analysis with Boundary …, 2023 - Elsevier
The purpose of this contribution is to present or implement generalized finite difference
method (GFDM) for the first time in order to solve the reaction convection Diffusion equation …

A weak Galerkin finite element method for time fractional reaction-diffusion-convection problems with variable coefficients

Ş Toprakseven - Applied Numerical Mathematics, 2021 - Elsevier
In this paper, a weak Galerkin finite element method for solving the time fractional reaction-
convection diffusion problem is proposed. We use the well known L 1 discretization in time …

Numerical solution of the time-fractional Fokker--Planck equation with general forcing

KN Le, W McLean, K Mustapha - SIAM Journal on Numerical Analysis, 2016 - SIAM
We study two schemes for a time-fractional Fokker--Planck equation with space-and time-
dependent forcing in one space dimension. The first scheme is continuous in time and …

A fractional‐order Jacobi Tau method for a class of time‐fractional PDEs with variable coefficients

A Bhrawy, M Zaky - Mathematical Methods in the Applied …, 2016 - Wiley Online Library
This paper presents a shifted fractional‐order Jacobi orthogonal function (SFJF) based on
the definition of the classical Jacobi polynomial. A new fractional integral operational matrix …

Boundary Mittag-Leffler stabilization of coupled time fractional order reaction–advection–diffusion systems with non-constant coefficients

J Chen, A Tepljakov, E Petlenkov, YQ Chen… - Systems & Control …, 2021 - Elsevier
This paper is concerned with boundary control for a class of coupled time fractional order
reaction–advection–diffusion (FRAD) systems with non-constant coefficients (space …

Compact finite-difference method for 2D time-fractional convection–diffusion equation of groundwater pollution problems

L Li, Z Jiang, Z Yin - Computational and Applied Mathematics, 2020 - Springer
In this work, we provide a compact finite-difference scheme (CFDS) of 2D time-fractional
convection–diffusion equation (TF-CDE) for solving fluid dynamics problem, especially …

Design and analysis of efficient computational techniques for solving a temporal‐fractional partial differential equation with the weakly singular solution

P Roul - Mathematical Methods in the Applied Sciences, 2024 - Wiley Online Library
This work deals with the construction of robust numerical schemes for solving a time‐
fractional convection‐diffusion (TFCD) equation with variable coefficients subject to weakly …

Numerical methods for the time fractional convection-diffusion-reaction equation

C Li, Z Wang - Numerical Functional Analysis and Optimization, 2021 - Taylor & Francis
In this article, efficient methods are derived for seeking numerical solution to the time
fractional convection-diffusion-reaction equation whose solution very likely exhibits a weak …