Adapting Integral Transforms to Create Solitary Solutions for Partial Differential Equations via a New Approach

Authors

  • Rania Saadeh Zarqa University
  • Ahmad Qazza
  • Aliaa Burqan
  • Dumitru Bleanu Institute of Space Science, Magurele-Bucharest, Romania

DOI:

https://doi.org/10.29020/nybg.ejpam.v16i2.4774

Keywords:

Laplace transform; Sumudu transform; Double ARA–Sumudu transform; New iterative method; Nonlinear partial differential equations.

Abstract

In this article, a new effective technique is implemented to solve families of nonlinear partial differential equations (NLPDEs). The proposed method combines the double ARA-Sumudu transform with the numerical iterative method to get the exact solutions of NLPDEs. The successive iterative method was used to find the solution of nonlinear terms of these equations. In order to show the efficiency and applicability of the presented method, some physical applications are analyzed and illustrated, and to defend our results, some numerical examples and figures are discussed.

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Published

2023-04-30

Issue

Vol. 16 No. 2: (April 2023)

Section

Nonlinear Analysis

License

Copyright (c) 2023 European Journal of Pure and Applied Mathematics

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How to Cite

Adapting Integral Transforms to Create Solitary Solutions for Partial Differential Equations via a New Approach. (2023). European Journal of Pure and Applied Mathematics, 16(2), 1274-1289. https://doi.org/10.29020/nybg.ejpam.v16i2.4774