Analytical Solutions for the Nonlinear Partial Differential Equations Using the Conformable Triple Laplace Transform Decomposition Method
In this paper, a novel analytical method for solving nonlinear partial differential equations is studied. This method is known as triple Laplace transform decomposition method. This method is generalized in the sense of conformable derivative. Important results and theorems concerning this method ar...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2021/9988160 |
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| _version_ | 1832556455200292864 |
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| author | Shailesh A. Bhanotar Mohammed K. A. Kaabar |
| author_facet | Shailesh A. Bhanotar Mohammed K. A. Kaabar |
| author_sort | Shailesh A. Bhanotar |
| collection | DOAJ |
| description | In this paper, a novel analytical method for solving nonlinear partial differential equations is studied. This method is known as triple Laplace transform decomposition method. This method is generalized in the sense of conformable derivative. Important results and theorems concerning this method are discussed. A new algorithm is proposed to solve linear and nonlinear partial differential equations in three dimensions. Moreover, some examples are provided to verify the performance of the proposed algorithm. This method presents a wide applicability to solve nonlinear partial differential equations in the sense of conformable derivative. |
| format | Article |
| id | doaj-art-20150d4491264cf9a546d6cda8224311 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-20150d4491264cf9a546d6cda82243112025-02-03T05:45:22ZengWileyInternational Journal of Differential Equations1687-96431687-96512021-01-01202110.1155/2021/99881609988160Analytical Solutions for the Nonlinear Partial Differential Equations Using the Conformable Triple Laplace Transform Decomposition MethodShailesh A. Bhanotar0Mohammed K. A. Kaabar1Department of Mathematics, LJIET, LJ University, Ahmedabad, Gujarat, IndiaInstitute of Mathematical Sciences, Faculty of Science, University of Malaya, Kuala Lumpur 50603, MalaysiaIn this paper, a novel analytical method for solving nonlinear partial differential equations is studied. This method is known as triple Laplace transform decomposition method. This method is generalized in the sense of conformable derivative. Important results and theorems concerning this method are discussed. A new algorithm is proposed to solve linear and nonlinear partial differential equations in three dimensions. Moreover, some examples are provided to verify the performance of the proposed algorithm. This method presents a wide applicability to solve nonlinear partial differential equations in the sense of conformable derivative.http://dx.doi.org/10.1155/2021/9988160 |
| spellingShingle | Shailesh A. Bhanotar Mohammed K. A. Kaabar Analytical Solutions for the Nonlinear Partial Differential Equations Using the Conformable Triple Laplace Transform Decomposition Method International Journal of Differential Equations |
| title | Analytical Solutions for the Nonlinear Partial Differential Equations Using the Conformable Triple Laplace Transform Decomposition Method |
| title_full | Analytical Solutions for the Nonlinear Partial Differential Equations Using the Conformable Triple Laplace Transform Decomposition Method |
| title_fullStr | Analytical Solutions for the Nonlinear Partial Differential Equations Using the Conformable Triple Laplace Transform Decomposition Method |
| title_full_unstemmed | Analytical Solutions for the Nonlinear Partial Differential Equations Using the Conformable Triple Laplace Transform Decomposition Method |
| title_short | Analytical Solutions for the Nonlinear Partial Differential Equations Using the Conformable Triple Laplace Transform Decomposition Method |
| title_sort | analytical solutions for the nonlinear partial differential equations using the conformable triple laplace transform decomposition method |
| url | http://dx.doi.org/10.1155/2021/9988160 |
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