Analytical treatment of fractional Swift-Hohenberg equation with uncertainty
In this article, we present the time-fractional Swift-Hohenberg equation (FSFE) with uncertainty where the fractional deriative is chossen in caputo sense. We have solved the fuzzy FSFE by homotopy analysis elzaki transform method (HAETM) which is a collaboration of homotopy analysis method with elz...
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| Format: | Article |
| Language: | English |
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REA Press
2024-12-01
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| Series: | Computational Algorithms and Numerical Dimensions |
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| Online Access: | https://www.journal-cand.com/article_203871_6599986a1aeb2301793a9be74b3de0b7.pdf |
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| author | Amit Kumar Samaresh Kumbhakar Shreya Mukherjee |
| author_facet | Amit Kumar Samaresh Kumbhakar Shreya Mukherjee |
| author_sort | Amit Kumar |
| collection | DOAJ |
| description | In this article, we present the time-fractional Swift-Hohenberg equation (FSFE) with uncertainty where the fractional deriative is chossen in caputo sense. We have solved the fuzzy FSFE by homotopy analysis elzaki transform method (HAETM) which is a collaboration of homotopy analysis method with elzaki transform.The proposed algorithm provides a fast convergence series solution. Three dimensional plots of the solutions, error graphs and h-cut graphs are given to illustrate the efficacy of the method to solve FSFE. |
| format | Article |
| id | doaj-art-b1c4b38fc62a43ca8b897258c6f8be73 |
| institution | Kabale University |
| issn | 2980-7646 2980-9320 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | REA Press |
| record_format | Article |
| series | Computational Algorithms and Numerical Dimensions |
| spelling | doaj-art-b1c4b38fc62a43ca8b897258c6f8be732025-01-30T11:23:34ZengREA PressComputational Algorithms and Numerical Dimensions2980-76462980-93202024-12-013429129710.22105/cand.2024.475855.1109203871Analytical treatment of fractional Swift-Hohenberg equation with uncertaintyAmit Kumar0Samaresh Kumbhakar1Shreya Mukherjee2Department of Mathematics, Balarampur College, Purulia, West Bengal, India.Department of Mathematics, Sidho-Kanho-Birsha University, Purulia, West Bengal, India.Department of Mathematics, Sidho-Kanho-Birsha University, Purulia, West Bengal, India.In this article, we present the time-fractional Swift-Hohenberg equation (FSFE) with uncertainty where the fractional deriative is chossen in caputo sense. We have solved the fuzzy FSFE by homotopy analysis elzaki transform method (HAETM) which is a collaboration of homotopy analysis method with elzaki transform.The proposed algorithm provides a fast convergence series solution. Three dimensional plots of the solutions, error graphs and h-cut graphs are given to illustrate the efficacy of the method to solve FSFE.https://www.journal-cand.com/article_203871_6599986a1aeb2301793a9be74b3de0b7.pdffractional swift-hohenberg equationhomotopy analysis elzaki transform methoduncertain environmentupper and lower bound approximate solutions |
| spellingShingle | Amit Kumar Samaresh Kumbhakar Shreya Mukherjee Analytical treatment of fractional Swift-Hohenberg equation with uncertainty Computational Algorithms and Numerical Dimensions fractional swift-hohenberg equation homotopy analysis elzaki transform method uncertain environment upper and lower bound approximate solutions |
| title | Analytical treatment of fractional Swift-Hohenberg equation with uncertainty |
| title_full | Analytical treatment of fractional Swift-Hohenberg equation with uncertainty |
| title_fullStr | Analytical treatment of fractional Swift-Hohenberg equation with uncertainty |
| title_full_unstemmed | Analytical treatment of fractional Swift-Hohenberg equation with uncertainty |
| title_short | Analytical treatment of fractional Swift-Hohenberg equation with uncertainty |
| title_sort | analytical treatment of fractional swift hohenberg equation with uncertainty |
| topic | fractional swift-hohenberg equation homotopy analysis elzaki transform method uncertain environment upper and lower bound approximate solutions |
| url | https://www.journal-cand.com/article_203871_6599986a1aeb2301793a9be74b3de0b7.pdf |
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