Fractal-view and convergence of fractional order cauchy reaction-diffusion equations using semi-analytical technique
This article solves time-fractional order Cauchy reaction-diffusion equations in approximation using the Optimal Homotopy Asymptotic Method (OHAM).The exact solutions and approximate third-order results achieved using OHAM are compared. It has been noted that for partial time order Cauchy equations...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-12-01
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| Series: | Partial Differential Equations in Applied Mathematics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818124003607 |
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| author | H.M. Younas Kousar Yousaf Imran Siddique Shaukat Iqbal |
| author_facet | H.M. Younas Kousar Yousaf Imran Siddique Shaukat Iqbal |
| author_sort | H.M. Younas |
| collection | DOAJ |
| description | This article solves time-fractional order Cauchy reaction-diffusion equations in approximation using the Optimal Homotopy Asymptotic Method (OHAM).The exact solutions and approximate third-order results achieved using OHAM are compared. It has been noted that for partial time order Cauchy equations for reaction-diffusion, OHAM findings exhibit a substantial convergence rate. Plotting the outcomes of the solutions and tabulating the relative errors are done. In order to find the mentioned solutions Mathematica has been used. |
| format | Article |
| id | doaj-art-87e54e4302c74ab19d80db187e19ea7b |
| institution | OA Journals |
| issn | 2666-8181 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj-art-87e54e4302c74ab19d80db187e19ea7b2025-08-20T02:38:21ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812024-12-011210097410.1016/j.padiff.2024.100974Fractal-view and convergence of fractional order cauchy reaction-diffusion equations using semi-analytical techniqueH.M. Younas0Kousar Yousaf1Imran Siddique2Shaukat Iqbal3Department of Mathematics, RIPHAH International University, Faisalabad, PakistanDepartment of Mathematics, RIPHAH International University, Faisalabad, PakistanDepartment of Mathematics, University of Sargodha, Sargodha 40100, Pakistan; Mathematics in Applied Sciences and Engineering Research Group, Scientific Research Center, Al-Ayen University, Nasiriyah 64001, Iraq; Corresponding author.Department of Informatics and Systems, School of Systems and Technology, University of Management and Technology, Lahore 54000, PakistanThis article solves time-fractional order Cauchy reaction-diffusion equations in approximation using the Optimal Homotopy Asymptotic Method (OHAM).The exact solutions and approximate third-order results achieved using OHAM are compared. It has been noted that for partial time order Cauchy equations for reaction-diffusion, OHAM findings exhibit a substantial convergence rate. Plotting the outcomes of the solutions and tabulating the relative errors are done. In order to find the mentioned solutions Mathematica has been used.http://www.sciencedirect.com/science/article/pii/S2666818124003607OhamApproximate solutionsCauchy reaction-diffusion equationsTime-fractional order |
| spellingShingle | H.M. Younas Kousar Yousaf Imran Siddique Shaukat Iqbal Fractal-view and convergence of fractional order cauchy reaction-diffusion equations using semi-analytical technique Partial Differential Equations in Applied Mathematics Oham Approximate solutions Cauchy reaction-diffusion equations Time-fractional order |
| title | Fractal-view and convergence of fractional order cauchy reaction-diffusion equations using semi-analytical technique |
| title_full | Fractal-view and convergence of fractional order cauchy reaction-diffusion equations using semi-analytical technique |
| title_fullStr | Fractal-view and convergence of fractional order cauchy reaction-diffusion equations using semi-analytical technique |
| title_full_unstemmed | Fractal-view and convergence of fractional order cauchy reaction-diffusion equations using semi-analytical technique |
| title_short | Fractal-view and convergence of fractional order cauchy reaction-diffusion equations using semi-analytical technique |
| title_sort | fractal view and convergence of fractional order cauchy reaction diffusion equations using semi analytical technique |
| topic | Oham Approximate solutions Cauchy reaction-diffusion equations Time-fractional order |
| url | http://www.sciencedirect.com/science/article/pii/S2666818124003607 |
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