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Numerical Solution of Fractional Diffusion Equation by Shifted Legendre Operational Matrix Method and Fractional Linear Multi-step Methods

Year: 2024

Type: article

Abstract: The paper deals with an efficient scheme to solve fractional diffusion equation including both time and spatial fractional derivative in Caputo sense. In the first time, the so-called operational matrice was obtained by computating fractional derivative of shifted Legendre polynomial followed by applying the spectral Tau method that convert the original equation in the system of fractionnal ordinary differential equation (FODE). The fractionnal linear multi-step metthods (FLMMS) can be used in the second time to give the approximate solution. To acces the accuracy and validity of the method, two illustratives examples are reported using Matlab code.

Source: Journal of Advances in Mathematics and Computer Science

DOI: 10.9734/jamcs/2024/v39i121953

Authors: DJERAYOM Luc, Djibet Mbainguesse, Bakari Abbo, Youssouf Paré

Institutions: University of N'Djamena, Université Joseph Ki-Zerbo

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4405128213

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