Fractal-fractional advection–diffusion–reaction equations by Ritz approximation approach

Md Nasrudin, Farah Suraya and Chang Phang, Chang Phang and Kanwal, Afshan (2023) Fractal-fractional advection–diffusion–reaction equations by Ritz approximation approach. Open Physics. pp. 1-8.

Text J15735_0a978ec0c88b43c83dfa97263e880111.pdf Restricted to Registered users only Download (3MB) | Request a copy

Abstract

In this work, we propose the Ritz approximation approach with a satisfier function to solve fractalfractional advection–diffusion–reaction equations. The approach reduces fractal-fractional advection–diffusion– reaction equations to a system of algebraic equations; hence, the system can be solved easily to obtain the numerical solution for fractal-fractional advection–diffusion–reaction equations. With only a few terms of two variables-shifted Legendre polynomials, this method is capable of providing high-accuracy solution for fractal-fractional advection–diffusion–reaction equations. Numerical examples show that this approach is comparable with the existing numerical method. The proposed approach can reduce the number of terms of polynomials needed for numerical simulation to obtain the solution for fractal-fractional advection–diffusion–reaction equations.

Item Type:	Article
Uncontrolled Keywords:	fractal-fractional derivative, Ritz approximation, satisfier function, fractional advection–diffusion–reaction equations, two variables-shifted Legendre polynomials
Subjects:	T Technology > T Technology (General)
Depositing User:	Mr. Mohamad Zulkhibri Rahmad
Date Deposited:	25 Jun 2023 07:08
Last Modified:	25 Jun 2023 07:08
URI:	http://eprints.uthm.edu.my/id/eprint/9054

Actions (login required)

View Item