Implicit solution of gs iteration with semi approximate approach for solving burgers’ equation
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...
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| Main Authors: | , , , |
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| Format: | Proceedings |
| Language: | English English |
| Published: |
Faculty of Science and Natural Resources
2020
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| Subjects: | |
| Online Access: | https://eprints.ums.edu.my/id/eprint/24558/1/Implicit%20solution%20of%20gs%20iteration%20with%20semi%20approximate%20approach%20for%20solving%20burgers%E2%80%99%20equation.pdf https://eprints.ums.edu.my/id/eprint/24558/2/Implicit%20solution%20of%20gs%20iteration%20with%20semi%20approximate%20approach%20for%20solving%20burgers%E2%80%99%20equation1.pdf https://eprints.ums.edu.my/id/eprint/24558/ https://www.ums.edu.my/fssa/wp-content/uploads/2020/12/PROCEEDINGS-BOOK-ST-2020-e-ISSN.pdf |
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| Institution: | Universiti Malaysia Sabah |
| Language: | English English |
| Summary: | 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. |
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