Analytical solutions for the nonlinear partial differential equations using the conformable triple Laplace transform decomposition method
type: Item
instance of: scholarly article
title: Analytical solutions for the nonlinear partial differential equations using the conformable triple Laplace transform decomposition method
zbMATH Open document ID: 1486.35104
DOI: 10.1155/2021/9988160
author: Yanyan Li
published in: International Journal of Differential Equations
publication date: 2022-01-06T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 35C05
Mathematics Subject Classification ID: 35A22
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7453310
zbMATH Keywords: conformable derivative
zbMATH Keywords: nonlinear PDEs in three dimensions
Wikidata QID: Q115243561
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/9988160
OpenAlex ID: W3193949860
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description: scientific article; zbMATH DE number 7453310