N. F. A. Zainal and Jumat Sulaiman and Azali Saudi and N. A. M. Ali (2020) Implicit solution of gs iteration with semi approximate approach for solving burgers’ equation.
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Abstract
The aim of this study is to find semi-approximate solution of nonlinear Burgers’ equation based on the semi-approximate approach. To derive the approximation equation, the discretization of second-order implicit scheme has been used to discretize the proposed problem. To eliminate the nonlinear term of the proposed problems, semi-approximate approach is used to form a linear system which can be solved iteratively. Furthemore, numerical results of three proposed examples are included to examine the performance of Gauss-Seidel (GS) iteration compared to Jacobi iteration. The implementation of iteration with semi-approximate approach shown that GS iteration is more efficient than Jacobi iteration in aspect of iteration numbers and execution time.
| Item Type: | Proceedings |
|---|---|
| Keyword: | Burgers’ equation, Semi-approximate approach, Jacobi iteration, GS iteration |
| Subjects: | Q Science > Q Science (General) ?? TP368-456_Food_processing_and_manufacture ?? |
| Department: | FACULTY > Faculty of Science and Natural Resources |
| Depositing User: | SITI AZIZAH BINTI IDRIS - |
| Date Deposited: | 09 Jun 2021 10:07 |
| Last Modified: | 09 Jun 2021 10:07 |
| URI: | https://eprints.ums.edu.my/id/eprint/24558 |
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