Sumudu residual power series method to solve time-fractional Fisher’s equation
In this paper, the one-dimensional nonlinear temporal fractional-order Fisher’s equation is solved by using the Sumudu residual power series method (SRPSM), a powerful computing technique. This method combines the RPSM and Sumudu transform to provide approximations of solutions using the notion of l...
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| Format: | Article |
| Language: | English |
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World Scientific Publishing
2025-01-01
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| Series: | Mathematics Open |
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| Online Access: | https://www.worldscientific.com/doi/10.1142/S281100722450010X |
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| author | Rajendra Pant Geeta Arora Homan Emadifar Ahmed A. Hamoud |
| author_facet | Rajendra Pant Geeta Arora Homan Emadifar Ahmed A. Hamoud |
| author_sort | Rajendra Pant |
| collection | DOAJ |
| description | In this paper, the one-dimensional nonlinear temporal fractional-order Fisher’s equation is solved by using the Sumudu residual power series method (SRPSM), a powerful computing technique. This method combines the RPSM and Sumudu transform to provide approximations of solutions using the notion of limit, in contrast to the standard residual power series method, which necessitates computing fractional derivatives. With reference to the equation under consideration, this work compares and validates the solution obtained by using the considered method. The applicability, effectiveness, and dependability of the provided strategy were confirmed through the analysis of this equation and numerical simulations. |
| format | Article |
| id | doaj-art-6c00cfade3944b348d3fea99af38843f |
| institution | Kabale University |
| issn | 2811-0072 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | World Scientific Publishing |
| record_format | Article |
| series | Mathematics Open |
| spelling | doaj-art-6c00cfade3944b348d3fea99af38843f2025-02-03T07:04:29ZengWorld Scientific PublishingMathematics Open2811-00722025-01-010410.1142/S281100722450010XSumudu residual power series method to solve time-fractional Fisher’s equationRajendra Pant0Geeta Arora1Homan Emadifar2Ahmed A. Hamoud3Faculty of Science and Technology, Far Western University, NepalDepartment of Mathematics, School of Chemical Engineering and Physical Sciences, Lovely Professional University, Punjab, IndiaDepartment of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai 602 105, Tamil Nadu, IndiaDepartment of Mathematics, Taiz University, P. O. Box 6803, Taiz, YemenIn this paper, the one-dimensional nonlinear temporal fractional-order Fisher’s equation is solved by using the Sumudu residual power series method (SRPSM), a powerful computing technique. This method combines the RPSM and Sumudu transform to provide approximations of solutions using the notion of limit, in contrast to the standard residual power series method, which necessitates computing fractional derivatives. With reference to the equation under consideration, this work compares and validates the solution obtained by using the considered method. The applicability, effectiveness, and dependability of the provided strategy were confirmed through the analysis of this equation and numerical simulations.https://www.worldscientific.com/doi/10.1142/S281100722450010XSumudu transformFisher equationresidual power seriesapproximate solutionsinverse Sumudu transform |
| spellingShingle | Rajendra Pant Geeta Arora Homan Emadifar Ahmed A. Hamoud Sumudu residual power series method to solve time-fractional Fisher’s equation Mathematics Open Sumudu transform Fisher equation residual power series approximate solutions inverse Sumudu transform |
| title | Sumudu residual power series method to solve time-fractional Fisher’s equation |
| title_full | Sumudu residual power series method to solve time-fractional Fisher’s equation |
| title_fullStr | Sumudu residual power series method to solve time-fractional Fisher’s equation |
| title_full_unstemmed | Sumudu residual power series method to solve time-fractional Fisher’s equation |
| title_short | Sumudu residual power series method to solve time-fractional Fisher’s equation |
| title_sort | sumudu residual power series method to solve time fractional fisher s equation |
| topic | Sumudu transform Fisher equation residual power series approximate solutions inverse Sumudu transform |
| url | https://www.worldscientific.com/doi/10.1142/S281100722450010X |
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