A Legendre wavelet collocation method for 1D and 2D coupled time-fractional nonlinear diffusion system
A Legendre wavelet collocation method is proposed for solving a nonlinear coupled time fractional diffusion system. We have formulated a Riemann-Liouville fractional integral operator for Legendre wavelet (RLFIO-L) adopting the definition of Riemann-Liouville fractional integral operator combined wi...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/164655 |
| _version_ | 1826128569030410240 |
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| author | Faheem, Mo Khan, Arshad Wong, Patricia Jia Ying |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Faheem, Mo Khan, Arshad Wong, Patricia Jia Ying |
| author_sort | Faheem, Mo |
| collection | NTU |
| description | A Legendre wavelet collocation method is proposed for solving a nonlinear coupled time fractional diffusion system. We have formulated a Riemann-Liouville fractional integral operator for Legendre wavelet (RLFIO-L) adopting the definition of Riemann-Liouville fractional integral operator combined with the Laplace transformation. Both the time and space variables are discretized in terms of the Legendre wavelet and RLFIO-L. The nonlinear coupled diffusion system is quasi-linearized by making use of the Newton's method. For theoretical concerns, the upper bound of error norm of the proposed method is estimated. Some numerical experiments are presented to authenticate the computational efficacy of the method. |
| first_indexed | 2024-10-01T07:26:44Z |
| format | Journal Article |
| id | ntu-10356/164655 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T07:26:44Z |
| publishDate | 2023 |
| record_format | dspace |
| spelling | ntu-10356/1646552023-02-07T08:16:00Z A Legendre wavelet collocation method for 1D and 2D coupled time-fractional nonlinear diffusion system Faheem, Mo Khan, Arshad Wong, Patricia Jia Ying School of Electrical and Electronic Engineering Engineering::Electrical and electronic engineering Collocation Method Legendre Wavelet A Legendre wavelet collocation method is proposed for solving a nonlinear coupled time fractional diffusion system. We have formulated a Riemann-Liouville fractional integral operator for Legendre wavelet (RLFIO-L) adopting the definition of Riemann-Liouville fractional integral operator combined with the Laplace transformation. Both the time and space variables are discretized in terms of the Legendre wavelet and RLFIO-L. The nonlinear coupled diffusion system is quasi-linearized by making use of the Newton's method. For theoretical concerns, the upper bound of error norm of the proposed method is estimated. Some numerical experiments are presented to authenticate the computational efficacy of the method. 2023-02-07T08:16:00Z 2023-02-07T08:16:00Z 2022 Journal Article Faheem, M., Khan, A. & Wong, P. J. Y. (2022). A Legendre wavelet collocation method for 1D and 2D coupled time-fractional nonlinear diffusion system. Computers and Mathematics With Applications, 128, 214-238. https://dx.doi.org/10.1016/j.camwa.2022.10.014 0898-1221 https://hdl.handle.net/10356/164655 10.1016/j.camwa.2022.10.014 2-s2.0-85141255091 128 214 238 en Computers and Mathematics with Applications © 2022 Elsevier Ltd. All rights reserved. |
| spellingShingle | Engineering::Electrical and electronic engineering Collocation Method Legendre Wavelet Faheem, Mo Khan, Arshad Wong, Patricia Jia Ying A Legendre wavelet collocation method for 1D and 2D coupled time-fractional nonlinear diffusion system |
| title | A Legendre wavelet collocation method for 1D and 2D coupled time-fractional nonlinear diffusion system |
| title_full | A Legendre wavelet collocation method for 1D and 2D coupled time-fractional nonlinear diffusion system |
| title_fullStr | A Legendre wavelet collocation method for 1D and 2D coupled time-fractional nonlinear diffusion system |
| title_full_unstemmed | A Legendre wavelet collocation method for 1D and 2D coupled time-fractional nonlinear diffusion system |
| title_short | A Legendre wavelet collocation method for 1D and 2D coupled time-fractional nonlinear diffusion system |
| title_sort | legendre wavelet collocation method for 1d and 2d coupled time fractional nonlinear diffusion system |
| topic | Engineering::Electrical and electronic engineering Collocation Method Legendre Wavelet |
| url | https://hdl.handle.net/10356/164655 |
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