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

Md Nasrudin, Farah Suraya and Phang, Chang and Kanwal, Afshan (2022) Fractal-fractional advection–diffusion–reaction equations by Ritz approximation approach. Open Physics. pp. 1-8.

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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)
Divisions:	Faculty of Applied Science and Technology > Department of Mathematics and Statistics
Depositing User:	Mr. Mohamad Zulkhibri Rahmad
Date Deposited:	11 Apr 2023 03:13
Last Modified:	11 Apr 2023 03:13
URI:	http://eprints.uthm.edu.my/id/eprint/8562

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