Analytical solutions for the nonlinear partial differential equations using the conformable triple laplace transform decomposition method
Document Type
Article
Publication Date
8-18-2021
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.
Keywords
Nonlinear Partial Differential Equations, Conformable derivative, Equations
Publication Title
International Journal of Differential Equations
Recommended Citation
Bhanotar, Shailesh A. and Kaabar, Mohammed K. A., "Analytical solutions for the nonlinear partial differential equations using the conformable triple laplace transform decomposition method" (2021). Research Publications (2021 to 2025). 6730.
https://knova.um.edu.my/research_publications_2021_2025/6730
Divisions
Science
Funders
None
Volume
2021
Publisher
Hindawi Ltd