Open Access

ARTICLE

Results Involving Partial Differential Equations and Their Solution by Certain Integral Transform

by Rania Saadah¹, Mohammed Amleh¹, Ahmad Qazza¹, Shrideh Al-Omari^2,*, Ahmet Ocak Akdemir³

1 Department of Mathematics, Faculty of Science, Zarqa University, Zarqa, 13110, Jordan
2 Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Amman, 11134, Jordan
3 Department of Mathematics, Faculty of Science and Letters, Agri Ibrahim Çeçen University, Agri, 04100, Turkey

* Corresponding Author: Shrideh Al-Omari. Email:

(This article belongs to the Special Issue: On Innovative Ideas in Pure and Applied Mathematics with Applications)

Computer Modeling in Engineering & Sciences 2024, 138(2), 1593-1616. https://doi.org/10.32604/cmes.2023.029180

Received 06 February 2023; Accepted 25 April 2023; Issue published 17 November 2023

Abstract

In this study, we aim to investigate certain triple integral transform and its application to a class of partial differential equations. We discuss various properties of the new transform including inversion, linearity, existence, scaling and shifting, etc. Then, we derive several results enfolding partial derivatives and establish a multi-convolution theorem. Further, we apply the aforementioned transform to some classical functions and many types of partial differential equations involving heat equations, wave equations, Laplace equations, and Poisson equations as well. Moreover, we draw some figures to illustrate 3-D contour plots for exact solutions of some selected examples involving different values in their variables.

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Keywords

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