New traveling wave solutions of a nonlinear diffusion–convection equation by using standard tanh method
Exact solutions of traveling wave are acquired by employ a relatively new technique which is called standard tanh method for a nonlinear diffusion–convection equation. The tanh method is applied for the first time for finding travelling wave solutions for the nonlinear diffusion–convection equation...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Tikrit University
2023-01-01
|
| Series: | Tikrit Journal of Pure Science |
| Subjects: | |
| Online Access: | https://tjpsj.org/index.php/tjps/article/view/663 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849704168321712128 |
|---|---|
| author | Seham I. Aziz Wafaa M. Taha Raad A. Hameed Ibrahem M. Taha |
| author_facet | Seham I. Aziz Wafaa M. Taha Raad A. Hameed Ibrahem M. Taha |
| author_sort | Seham I. Aziz |
| collection | DOAJ |
| description |
Exact solutions of traveling wave are acquired by employ a relatively new technique which is called standard tanh method for a nonlinear diffusion–convection equation. The tanh method is applied for the first time for finding travelling wave solutions for the nonlinear diffusion–convection equation , where n and m, are integers, and , of order (m=4, n=7) and (m=5, n=9). Analytical solutions of a nonlinear diffusion–convection equations are obtained as a polynomial in tanh(x), and the plots for exact solutions are given. The obtained results are compared with F-Expansion method to validate the proposed approach.
|
| format | Article |
| id | doaj-art-43cca7ea733f412fa557bfc473a1a0a3 |
| institution | DOAJ |
| issn | 1813-1662 2415-1726 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Tikrit University |
| record_format | Article |
| series | Tikrit Journal of Pure Science |
| spelling | doaj-art-43cca7ea733f412fa557bfc473a1a0a32025-08-20T03:16:51ZengTikrit UniversityTikrit Journal of Pure Science1813-16622415-17262023-01-0123210.25130/tjps.v23i2.663New traveling wave solutions of a nonlinear diffusion–convection equation by using standard tanh methodSeham I. AzizWafaa M. TahaRaad A. HameedIbrahem M. Taha Exact solutions of traveling wave are acquired by employ a relatively new technique which is called standard tanh method for a nonlinear diffusion–convection equation. The tanh method is applied for the first time for finding travelling wave solutions for the nonlinear diffusion–convection equation , where n and m, are integers, and , of order (m=4, n=7) and (m=5, n=9). Analytical solutions of a nonlinear diffusion–convection equations are obtained as a polynomial in tanh(x), and the plots for exact solutions are given. The obtained results are compared with F-Expansion method to validate the proposed approach. https://tjpsj.org/index.php/tjps/article/view/663Tanh methodTraveling wave solutionsDiffusion–convection equation |
| spellingShingle | Seham I. Aziz Wafaa M. Taha Raad A. Hameed Ibrahem M. Taha New traveling wave solutions of a nonlinear diffusion–convection equation by using standard tanh method Tikrit Journal of Pure Science Tanh method Traveling wave solutions Diffusion–convection equation |
| title | New traveling wave solutions of a nonlinear diffusion–convection equation by using standard tanh method |
| title_full | New traveling wave solutions of a nonlinear diffusion–convection equation by using standard tanh method |
| title_fullStr | New traveling wave solutions of a nonlinear diffusion–convection equation by using standard tanh method |
| title_full_unstemmed | New traveling wave solutions of a nonlinear diffusion–convection equation by using standard tanh method |
| title_short | New traveling wave solutions of a nonlinear diffusion–convection equation by using standard tanh method |
| title_sort | new traveling wave solutions of a nonlinear diffusion convection equation by using standard tanh method |
| topic | Tanh method Traveling wave solutions Diffusion–convection equation |
| url | https://tjpsj.org/index.php/tjps/article/view/663 |
| work_keys_str_mv | AT sehamiaziz newtravelingwavesolutionsofanonlineardiffusionconvectionequationbyusingstandardtanhmethod AT wafaamtaha newtravelingwavesolutionsofanonlineardiffusionconvectionequationbyusingstandardtanhmethod AT raadahameed newtravelingwavesolutionsofanonlineardiffusionconvectionequationbyusingstandardtanhmethod AT ibrahemmtaha newtravelingwavesolutionsofanonlineardiffusionconvectionequationbyusingstandardtanhmethod |