APPROXIMATE SOLUTION FOR BURGER'S-FISHER EQUATION BY VARIATIONAL ITERATION TRANSFORM METHOD
Nonlinear partial differential equations represent the most important phenomena occurring in the world and are encountered in various fields of science. Generalized Burger’s-Fisher equation is very important for describing different mechanisms. Burger’s-Fisher equation arises in the field of applie...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Tikrit University
2018-08-01
|
| Series: | Tikrit Journal of Pure Science |
| Subjects: | |
| Online Access: | https://tjpsj.org/index.php/tjps/article/view/552 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850114089646292992 |
|---|---|
| author | Ali Al-FAYADH |
| author_facet | Ali Al-FAYADH |
| author_sort | Ali Al-FAYADH |
| collection | DOAJ |
| description |
Nonlinear partial differential equations represent the most important phenomena occurring in the world and are encountered in various fields of science. Generalized Burger’s-Fisher equation is very important for describing different mechanisms. Burger’s-Fisher equation arises in the field of applied mathematics and physics applications. This equation shows a prototypical model for describing the interaction between the reaction mechanisms, convection effect, and diffusion transport. In this paper, variational iteration transform method that combines Laplace transform and the variational iteration method, which used to obtain approximate analytical solutions of Burger’s - Fisher equation. Comparison of the results obtained by the present method with the exact solution and other existing methods reveals the accuracy and fast convergence of the proposed method.
|
| format | Article |
| id | doaj-art-1e39bf94084d481f8eae1b7a188d5fbe |
| institution | OA Journals |
| issn | 1813-1662 2415-1726 |
| language | English |
| publishDate | 2018-08-01 |
| publisher | Tikrit University |
| record_format | Article |
| series | Tikrit Journal of Pure Science |
| spelling | doaj-art-1e39bf94084d481f8eae1b7a188d5fbe2025-08-20T02:36:59ZengTikrit UniversityTikrit Journal of Pure Science1813-16622415-17262018-08-0123810.25130/tjps.v23i8.552 APPROXIMATE SOLUTION FOR BURGER'S-FISHER EQUATION BY VARIATIONAL ITERATION TRANSFORM METHODAli Al-FAYADH Nonlinear partial differential equations represent the most important phenomena occurring in the world and are encountered in various fields of science. Generalized Burger’s-Fisher equation is very important for describing different mechanisms. Burger’s-Fisher equation arises in the field of applied mathematics and physics applications. This equation shows a prototypical model for describing the interaction between the reaction mechanisms, convection effect, and diffusion transport. In this paper, variational iteration transform method that combines Laplace transform and the variational iteration method, which used to obtain approximate analytical solutions of Burger’s - Fisher equation. Comparison of the results obtained by the present method with the exact solution and other existing methods reveals the accuracy and fast convergence of the proposed method. https://tjpsj.org/index.php/tjps/article/view/552Laplace TransformVariational iteration transform methodGeneralized Burger’s-Fisher equation |
| spellingShingle | Ali Al-FAYADH APPROXIMATE SOLUTION FOR BURGER'S-FISHER EQUATION BY VARIATIONAL ITERATION TRANSFORM METHOD Tikrit Journal of Pure Science Laplace Transform Variational iteration transform method Generalized Burger’s-Fisher equation |
| title | APPROXIMATE SOLUTION FOR BURGER'S-FISHER EQUATION BY VARIATIONAL ITERATION TRANSFORM METHOD |
| title_full | APPROXIMATE SOLUTION FOR BURGER'S-FISHER EQUATION BY VARIATIONAL ITERATION TRANSFORM METHOD |
| title_fullStr | APPROXIMATE SOLUTION FOR BURGER'S-FISHER EQUATION BY VARIATIONAL ITERATION TRANSFORM METHOD |
| title_full_unstemmed | APPROXIMATE SOLUTION FOR BURGER'S-FISHER EQUATION BY VARIATIONAL ITERATION TRANSFORM METHOD |
| title_short | APPROXIMATE SOLUTION FOR BURGER'S-FISHER EQUATION BY VARIATIONAL ITERATION TRANSFORM METHOD |
| title_sort | approximate solution for burger s fisher equation by variational iteration transform method |
| topic | Laplace Transform Variational iteration transform method Generalized Burger’s-Fisher equation |
| url | https://tjpsj.org/index.php/tjps/article/view/552 |
| work_keys_str_mv | AT alialfayadh approximatesolutionforburgersfisherequationbyvariationaliterationtransformmethod |