New approximation solution for time-fractional Kudryashov-Sinelshchikov equation using novel technique
In this paper, a novel method presented in [1] is applied to solve time-fractional Kudryashov-Sinelshchikov equation (KS equation), a nonlinear fractional partial differential equation (NFPDE). This method is highly effective in obtaining approximate solutions for strongly NFPDEs. The accuracy of th...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-06-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016823003010 |
| _version_ | 1797839987461324800 |
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| author | Khalid K. Ali M. Maneea |
| author_facet | Khalid K. Ali M. Maneea |
| author_sort | Khalid K. Ali |
| collection | DOAJ |
| description | In this paper, a novel method presented in [1] is applied to solve time-fractional Kudryashov-Sinelshchikov equation (KS equation), a nonlinear fractional partial differential equation (NFPDE). This method is highly effective in obtaining approximate solutions for strongly NFPDEs. The accuracy of the method is evaluated by estimating the error between the exact and approximate solutions. By applying this method, we obtain solutions for the KS equation at different values of the fractional order derivative and at different stages of time. These solutions are presented through tables and graphs, highlighting the behavior of the KS equation under various conditions. |
| first_indexed | 2024-04-09T16:07:01Z |
| format | Article |
| id | doaj.art-0fbe54d0e8494b6da50db3ec0136c845 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-04-09T16:07:01Z |
| publishDate | 2023-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-0fbe54d0e8494b6da50db3ec0136c8452023-04-25T04:07:52ZengElsevierAlexandria Engineering Journal1110-01682023-06-0172559572New approximation solution for time-fractional Kudryashov-Sinelshchikov equation using novel techniqueKhalid K. Ali0M. Maneea1Mathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt; Corresponding author.Faculty of Engineering, MTI University, Cairo, EgyptIn this paper, a novel method presented in [1] is applied to solve time-fractional Kudryashov-Sinelshchikov equation (KS equation), a nonlinear fractional partial differential equation (NFPDE). This method is highly effective in obtaining approximate solutions for strongly NFPDEs. The accuracy of the method is evaluated by estimating the error between the exact and approximate solutions. By applying this method, we obtain solutions for the KS equation at different values of the fractional order derivative and at different stages of time. These solutions are presented through tables and graphs, highlighting the behavior of the KS equation under various conditions.http://www.sciencedirect.com/science/article/pii/S1110016823003010Kudryashov-Sinelshchikov equationNovel analytical methodCaputo fractional derivatives and integrals |
| spellingShingle | Khalid K. Ali M. Maneea New approximation solution for time-fractional Kudryashov-Sinelshchikov equation using novel technique Alexandria Engineering Journal Kudryashov-Sinelshchikov equation Novel analytical method Caputo fractional derivatives and integrals |
| title | New approximation solution for time-fractional Kudryashov-Sinelshchikov equation using novel technique |
| title_full | New approximation solution for time-fractional Kudryashov-Sinelshchikov equation using novel technique |
| title_fullStr | New approximation solution for time-fractional Kudryashov-Sinelshchikov equation using novel technique |
| title_full_unstemmed | New approximation solution for time-fractional Kudryashov-Sinelshchikov equation using novel technique |
| title_short | New approximation solution for time-fractional Kudryashov-Sinelshchikov equation using novel technique |
| title_sort | new approximation solution for time fractional kudryashov sinelshchikov equation using novel technique |
| topic | Kudryashov-Sinelshchikov equation Novel analytical method Caputo fractional derivatives and integrals |
| url | http://www.sciencedirect.com/science/article/pii/S1110016823003010 |
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