TY  - EJOU
AU  - Saadah, Rania 
AU  - Amleh, Mohammed 
AU  - Qazza, Ahmad 
AU  - Al-Omari, Shrideh 
AU  - Akdemir, Ahmet Ocak 

TI  - Results Involving Partial Differential Equations and Their Solution by Certain Integral Transform
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2024
VL  - 138
IS  - 2
SN  - 1526-1506

AB  - 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.
KW  - ARA transform; double ARA transform; triple ARA transform; partial differential equations; integral transform

DO  - 10.32604/cmes.2023.029180