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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: Bhanotar, Shailesh A., Kaabar, Mohammed K. A.
Format: Article
Published: Hindawi Ltd 2021
Subjects:
QA Mathematics
Online Access:http://eprints.um.edu.my/34815/
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spelling my.um.eprints.348152022-05-20T07:08:41Z http://eprints.um.edu.my/34815/ Analytical solutions for the nonlinear partial differential equations using the conformable triple laplace transform decomposition method Bhanotar, Shailesh A. Kaabar, Mohammed K. A. QA Mathematics 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. Hindawi Ltd 2021-08-18 Article PeerReviewed 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 <https://doi.org/10.1155/2021/9988160>. 10.1155/2021/9988160
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
topic QA Mathematics
spellingShingle QA Mathematics
Bhanotar, Shailesh A.
Kaabar, Mohammed K. A.
Analytical solutions for the nonlinear partial differential equations using the conformable triple laplace transform decomposition method
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
author Bhanotar, Shailesh A.
Kaabar, Mohammed K. A.
author_facet Bhanotar, Shailesh A.
Kaabar, Mohammed K. A.
author_sort Bhanotar, Shailesh A.
title 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_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_sort analytical solutions for the nonlinear partial differential equations using the conformable triple laplace transform decomposition method
publisher Hindawi Ltd
publishDate 2021
url http://eprints.um.edu.my/34815/
_version_ 1735409622925180928
score 13.159267

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