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 ea...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Degruter
2023
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| Subjects: | |
| Online Access: | http://eprints.uthm.edu.my/8771/1/J15735_0a978ec0c88b43c83dfa97263e880111.pdf |
| _version_ | 1825710636505497600 |
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| author | Md Nasrudin, Farah Suraya Phang, Chang Kanwal, Afshan |
| author_facet | Md Nasrudin, Farah Suraya Phang, Chang Kanwal, Afshan |
| author_sort | Md Nasrudin, Farah Suraya |
| collection | UTHM |
| 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. |
| first_indexed | 2024-03-05T22:00:37Z |
| format | Article |
| id | uthm.eprints-8771 |
| institution | Universiti Tun Hussein Onn Malaysia |
| language | English |
| last_indexed | 2024-03-05T22:00:37Z |
| publishDate | 2023 |
| publisher | Degruter |
| record_format | dspace |
| spelling | uthm.eprints-87712023-05-16T02:52:16Z http://eprints.uthm.edu.my/8771/ Fractal-fractional advection–diffusion–reaction equations by Ritz approximation approach Md Nasrudin, Farah Suraya Phang, Chang Kanwal, Afshan QA801-939 Analytic mechanics 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. Degruter 2023 Article PeerReviewed text en http://eprints.uthm.edu.my/8771/1/J15735_0a978ec0c88b43c83dfa97263e880111.pdf Md Nasrudin, Farah Suraya and Phang, Chang and Kanwal, Afshan (2023) Fractal-fractional advection–diffusion–reaction equations by Ritz approximation approach. -. pp. 1-8. ISSN 20220221 |
| spellingShingle | QA801-939 Analytic mechanics Md Nasrudin, Farah Suraya Phang, Chang Kanwal, Afshan Fractal-fractional advection–diffusion–reaction equations by Ritz approximation approach |
| title | 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_short | Fractal-fractional advection–diffusion–reaction equations by Ritz approximation approach |
| title_sort | fractal fractional advection diffusion reaction equations by ritz approximation approach |
| topic | QA801-939 Analytic mechanics |
| url | http://eprints.uthm.edu.my/8771/1/J15735_0a978ec0c88b43c83dfa97263e880111.pdf |
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