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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
REA Press
2024-12-01
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| Series: | Computational Algorithms and Numerical Dimensions |
| Subjects: | |
| Online Access: | https://www.journal-cand.com/article_203871_6599986a1aeb2301793a9be74b3de0b7.pdf |
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| Summary: | 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. |
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| ISSN: | 2980-7646 2980-9320 |