Analytical Solutions for the Nonlinear Partial Differential Equations Using the Conformable Triple Laplace Transform Decomposition Method
Autor: | Shailesh A. Bhanotar, Mohammed K. A. Kaabar |
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Jazyk: | angličtina |
Rok vydání: | 2021 |
Předmět: | |
Zdroj: | International Journal of Differential Equations, Vol 2021 (2021) |
Druh dokumentu: | article |
ISSN: | 1687-9643 1687-9651 |
DOI: | 10.1155/2021/9988160 |
Popis: | 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. |
Databáze: | Directory of Open Access Journals |
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