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

: 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...

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Main Authors: Md Nasrudin, Farah Suraya, Chang Phang, Chang Phang, Afshan Kanwal, Afshan Kanwal
Format: Article
Language:English
Published: De Gruyter 2023
Subjects:
T Technology (General)
Online Access:http://eprints.uthm.edu.my/8868/1/J15735_0a978ec0c88b43c83dfa97263e880111.pdf
http://eprints.uthm.edu.my/8868/
https://doi.org/10.1515/phys-2022-0221
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spelling my.uthm.eprints.88682023-06-18T01:32:16Z http://eprints.uthm.edu.my/8868/ Fractal-fractional advection–diffusion–reaction equations by Ritz approximation approach Md Nasrudin, Farah Suraya Chang Phang, Chang Phang Afshan Kanwal, Afshan Kanwal T Technology (General) : 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. De Gruyter 2023 Article PeerReviewed text en http://eprints.uthm.edu.my/8868/1/J15735_0a978ec0c88b43c83dfa97263e880111.pdf Md Nasrudin, Farah Suraya and Chang Phang, Chang Phang and Afshan Kanwal, Afshan Kanwal (2023) Fractal-fractional advection–diffusion–reaction equations by Ritz approximation approach. Open Physics. pp. 1-8. https://doi.org/10.1515/phys-2022-0221
institution Universiti Tun Hussein Onn Malaysia
building UTHM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Tun Hussein Onn Malaysia
content_source UTHM Institutional Repository
url_provider http://eprints.uthm.edu.my/
language English
topic T Technology (General)
spellingShingle T Technology (General)
Md Nasrudin, Farah Suraya
Chang Phang, Chang Phang
Afshan Kanwal, Afshan Kanwal
Fractal-fractional advection–diffusion–reaction equations by Ritz approximation approach
description : 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.
format Article
author Md Nasrudin, Farah Suraya
Chang Phang, Chang Phang
Afshan Kanwal, Afshan Kanwal
author_facet Md Nasrudin, Farah Suraya
Chang Phang, Chang Phang
Afshan Kanwal, Afshan Kanwal
author_sort Md Nasrudin, Farah Suraya
title Fractal-fractional advection–diffusion–reaction equations by Ritz approximation approach
title_short Fractal-fractional advection–diffusion–reaction equations by Ritz approximation approach
title_full Fractal-fractional advection–diffusion–reaction equations by Ritz approximation approach
title_fullStr Fractal-fractional advection–diffusion–reaction equations by Ritz approximation approach
title_full_unstemmed Fractal-fractional advection–diffusion–reaction equations by Ritz approximation approach
title_sort fractal-fractional advection–diffusion–reaction equations by ritz approximation approach
publisher De Gruyter
publishDate 2023
url http://eprints.uthm.edu.my/8868/1/J15735_0a978ec0c88b43c83dfa97263e880111.pdf
http://eprints.uthm.edu.my/8868/
https://doi.org/10.1515/phys-2022-0221
_version_ 1769845105772986368
score 13.211869

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