Work

Study the Stability of the Fourier Transform of the Variable-order Time Fractional Semi-linear Diffusion Equation

Year: 2025

Type: article

Abstract: In this research, we present a finite difference scheme (FDS) aimed at exploring the linear time and space fractional advection equation.To approximate the fractional derivatives, we utilize the fractional Taylor series for u (x, t) at t j and x i .Our primary focus lies in constructing a numerical scheme (NS) for the mathematical model.Following this, we delve into an examination of the stability and convergence of our NS.Ultimately, we conduct numerical simulations of the fractional advection equation using the FDM across different fractional parameter values.The outcomes of these simulations demonstrate satisfactory convergence, thereby confirming the efficacy of the proposed algorithm.

Source: International Journal of Apllied Mathematics

DOI: 10.12732/ijam.v38i2.7

Authors: M. El-hadi Smakdji, A. Derbazi, M. Dalah, A. Zarour

Institutions: University Frères Mentouri Constantine 1, University Mohamed El Bachir El Ibrahimi of Bordj Bou Arreridj

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4410276288

FWCI:

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