An Efficient Method For Solving The Conformable Cauchy Reaction-diffusion Partial Differential Equations
In this paper, we propose a new technique for solving conformable Cauchy reaction-diffusion equations (CRFEs). These equations are widely used as models for spatial effects in engineering, biology and ecology sciences. The conformable derivatives are considered in Khalil sense. This method is based...
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| Format: | Article |
| Language: | English |
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Tamkang University Press
2022-11-01
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| Series: | Journal of Applied Science and Engineering |
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| Online Access: | http://jase.tku.edu.tw/articles/jase-202307-26-7-0005 |
| _version_ | 1797988695343628288 |
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| author | Lingxia Liu |
| author_facet | Lingxia Liu |
| author_sort | Lingxia Liu |
| collection | DOAJ |
| description | In this paper, we propose a new technique for solving conformable Cauchy reaction-diffusion equations (CRFEs). These equations are widely used as models for spatial effects in engineering, biology and ecology sciences. The conformable derivatives are considered in Khalil sense. This method is based on perturbation theory and the conformable Laplace transformation (CLHPM). The solutions presented in this work can be used to obtain the closed form of the solutions if they are needed. The outcomes display that new technique is of high validity, more convenient and effective to use. The results presented in this paper show that the CLHPM is a powerful mathematical tool for solving other nonlinear conformable equations. |
| first_indexed | 2024-04-11T08:08:18Z |
| format | Article |
| id | doaj.art-970d5427f82b4a0c8a3bb723a184901a |
| institution | Directory Open Access Journal |
| issn | 2708-9967 2708-9975 |
| language | English |
| last_indexed | 2024-04-11T08:08:18Z |
| publishDate | 2022-11-01 |
| publisher | Tamkang University Press |
| record_format | Article |
| series | Journal of Applied Science and Engineering |
| spelling | doaj.art-970d5427f82b4a0c8a3bb723a184901a2022-12-22T04:35:28ZengTamkang University PressJournal of Applied Science and Engineering2708-99672708-99752022-11-0126794395010.6180/jase.202307_26(7).0005An Efficient Method For Solving The Conformable Cauchy Reaction-diffusion Partial Differential EquationsLingxia Liu0Department of Mathematics, Weifang University, Weifang 261061, Shandong, ChinaIn this paper, we propose a new technique for solving conformable Cauchy reaction-diffusion equations (CRFEs). These equations are widely used as models for spatial effects in engineering, biology and ecology sciences. The conformable derivatives are considered in Khalil sense. This method is based on perturbation theory and the conformable Laplace transformation (CLHPM). The solutions presented in this work can be used to obtain the closed form of the solutions if they are needed. The outcomes display that new technique is of high validity, more convenient and effective to use. The results presented in this paper show that the CLHPM is a powerful mathematical tool for solving other nonlinear conformable equations.http://jase.tku.edu.tw/articles/jase-202307-26-7-0005clthomotopy perturbation methodcrfesconformable derivative |
| spellingShingle | Lingxia Liu An Efficient Method For Solving The Conformable Cauchy Reaction-diffusion Partial Differential Equations Journal of Applied Science and Engineering clt homotopy perturbation method crfes conformable derivative |
| title | An Efficient Method For Solving The Conformable Cauchy Reaction-diffusion Partial Differential Equations |
| title_full | An Efficient Method For Solving The Conformable Cauchy Reaction-diffusion Partial Differential Equations |
| title_fullStr | An Efficient Method For Solving The Conformable Cauchy Reaction-diffusion Partial Differential Equations |
| title_full_unstemmed | An Efficient Method For Solving The Conformable Cauchy Reaction-diffusion Partial Differential Equations |
| title_short | An Efficient Method For Solving The Conformable Cauchy Reaction-diffusion Partial Differential Equations |
| title_sort | efficient method for solving the conformable cauchy reaction diffusion partial differential equations |
| topic | clt homotopy perturbation method crfes conformable derivative |
| url | http://jase.tku.edu.tw/articles/jase-202307-26-7-0005 |
| work_keys_str_mv | AT lingxialiu anefficientmethodforsolvingtheconformablecauchyreactiondiffusionpartialdifferentialequations AT lingxialiu efficientmethodforsolvingtheconformablecauchyreactiondiffusionpartialdifferentialequations |