Analytical solutions for the nonlinear partial differential equations using the conformable triple laplace transform decomposition method

Bhanotar, Shailesh A. and Kaabar, Mohammed K. A. (2021) Analytical solutions for the nonlinear partial differential equations using the conformable triple laplace transform decomposition method. International Journal of Differential Equations, 2021. ISSN 1687-9643, DOI https://doi.org/10.1155/2021/9988160.

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Abstract

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.

Item Type: Article
Funders: None
Uncontrolled Keywords: Nonlinear Partial Differential Equations; Conformable derivative; Equations
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science
Depositing User: Ms Zaharah Ramly
Date Deposited: 20 May 2022 07:08
Last Modified: 20 May 2022 07:08
URI: http://eprints.um.edu.my/id/eprint/34815

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