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...
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| Format: | Article |
| Language: | English |
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De Gruyter
2023
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| Subjects: | |
| Online Access: | http://eprints.uthm.edu.my/9763/1/J15735_0a978ec0c88b43c83dfa97263e880111.pdf |
| _version_ | 1825710829498007552 |
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| 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 |
| 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 | 2024-03-05T22:03:34Z |
| format | Article |
| id | uthm.eprints-9763 |
| institution | Universiti Tun Hussein Onn Malaysia |
| language | English |
| last_indexed | 2024-03-05T22:03:34Z |
| publishDate | 2023 |
| publisher | De Gruyter |
| record_format | dspace |
| spelling | uthm.eprints-97632023-09-13T06:46:29Z http://eprints.uthm.edu.my/9763/ 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/9763/1/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 |
| 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 |
| 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 | T Technology (General) |
| url | http://eprints.uthm.edu.my/9763/1/J15735_0a978ec0c88b43c83dfa97263e880111.pdf |
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