Computational Analysis of Fractional Diffusion Equations Occurring in Oil Pollution
The fractional model of diffusion equations is very important in the study of oil pollution in the water. The key objective of this article is to analyze a fractional modification of diffusion equations occurring in oil pollution associated with the Katugampola derivative in the Caputo sense. An eff...
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MDPI AG
2022-10-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/20/3827 |
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| author | Jagdev Singh Ahmed M. Alshehri Shaher Momani Samir Hadid Devendra Kumar |
| author_facet | Jagdev Singh Ahmed M. Alshehri Shaher Momani Samir Hadid Devendra Kumar |
| author_sort | Jagdev Singh |
| collection | DOAJ |
| description | The fractional model of diffusion equations is very important in the study of oil pollution in the water. The key objective of this article is to analyze a fractional modification of diffusion equations occurring in oil pollution associated with the Katugampola derivative in the Caputo sense. An effective and reliable computational method <i>q</i>-homotopy analysis generalized transform method is suggested to obtain the solutions of fractional order diffusion equations. The results of this research are demonstrated in graphical and tabular descriptions. This study shows that the applied computational technique is very effective, accurate, and beneficial for managing such kind of fractional order nonlinear models occurring in oil pollution. |
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| format | Article |
| id | doaj.art-c32b384c057d4a0d85c328b5255c178f |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T19:52:30Z |
| publishDate | 2022-10-01 |
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| series | Mathematics |
| spelling | doaj.art-c32b384c057d4a0d85c328b5255c178f2023-11-24T01:07:37ZengMDPI AGMathematics2227-73902022-10-011020382710.3390/math10203827Computational Analysis of Fractional Diffusion Equations Occurring in Oil PollutionJagdev Singh0Ahmed M. Alshehri1Shaher Momani2Samir Hadid3Devendra Kumar4Department of Mathematics, JECRC University, Jaipur 303905, Rajasthan, IndiaNonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah 21589, Saudi ArabiaNonlinear Dynamics Research Center (NDRC), Ajman University, Ajman P.O. Box 346, United Arab EmiratesNonlinear Dynamics Research Center (NDRC), Ajman University, Ajman P.O. Box 346, United Arab EmiratesNonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah 21589, Saudi ArabiaThe fractional model of diffusion equations is very important in the study of oil pollution in the water. The key objective of this article is to analyze a fractional modification of diffusion equations occurring in oil pollution associated with the Katugampola derivative in the Caputo sense. An effective and reliable computational method <i>q</i>-homotopy analysis generalized transform method is suggested to obtain the solutions of fractional order diffusion equations. The results of this research are demonstrated in graphical and tabular descriptions. This study shows that the applied computational technique is very effective, accurate, and beneficial for managing such kind of fractional order nonlinear models occurring in oil pollution.https://www.mdpi.com/2227-7390/10/20/3827diffusion equationsoil pollutionCaputo-Katugampola fractional derivative<i>q</i>-homotopy analysis generalized transfer method |
| spellingShingle | Jagdev Singh Ahmed M. Alshehri Shaher Momani Samir Hadid Devendra Kumar Computational Analysis of Fractional Diffusion Equations Occurring in Oil Pollution Mathematics diffusion equations oil pollution Caputo-Katugampola fractional derivative <i>q</i>-homotopy analysis generalized transfer method |
| title | Computational Analysis of Fractional Diffusion Equations Occurring in Oil Pollution |
| title_full | Computational Analysis of Fractional Diffusion Equations Occurring in Oil Pollution |
| title_fullStr | Computational Analysis of Fractional Diffusion Equations Occurring in Oil Pollution |
| title_full_unstemmed | Computational Analysis of Fractional Diffusion Equations Occurring in Oil Pollution |
| title_short | Computational Analysis of Fractional Diffusion Equations Occurring in Oil Pollution |
| title_sort | computational analysis of fractional diffusion equations occurring in oil pollution |
| topic | diffusion equations oil pollution Caputo-Katugampola fractional derivative <i>q</i>-homotopy analysis generalized transfer method |
| url | https://www.mdpi.com/2227-7390/10/20/3827 |
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