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A Novel Homotopy Perturbation Algorithm Using Laplace Transform for Conformable Partial Differential Equations

Sajad Iqbal, Mohammed K. A. Kaabar and Francisco Martínez

Mathematical Problems in Engineering, 2021, vol. 2021, 1-13

Abstract:

In this article, the approximate analytical solutions of four different types of conformable partial differential equations are investigated. First, the conformable Laplace transform homotopy perturbation method is reformulated. Then, the approximate analytical solution of four types of conformable partial differential equations is presented via the proposed technique. To check the accuracy of the proposed technique, the numerical and exact solutions are compared with each other. From this comparison, we conclude that the proposed technique is very efficient and easy to apply to various types of conformable partial differential equations.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:2573067

DOI: 10.1155/2021/2573067

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