Implicit solution of gs iteration with semi approximate approach for solving burgers’ equation

• Main Authors: N. F. A. Zainal, Jumat Sulaiman, Azali Saudi, N. A. M. Ali
• Format: Proceedings
• Language: English; English
• Published: Faculty of Science and Natural Resources 2020
• Subjects: Q Science (General)
• 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
• Institution: Universiti Malaysia Sabah

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.