The combined Laplace transform-differential transform method for solving linear non-homogeneous PDEs
Abstract
In this work, a combined form of the Laplace transform method with the differential transform method will be used to solve non-homogeneous linear partial differential equations. The combined method is capable of handling non-homogeneous linear partial differential equations with variable coefficient. The aim of using the Laplace transform is to overcome the deficiency that is caused by unsatisfied boundary conditions in using differential transform method. Illustrative examples will be examined to support the proposed analysis.
Copyright © 2012 Marwan Alquran, Kamel Al-Khaled, Mohammed Ali, Ameina Ta'any. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
M. Alquran, K. Al-Khaled, M. Ali, A. Ta'any, The combined Laplace transform-differential transform method for solving linear non-homogeneous PDEs, J. Math. Comput. Sci. 2 (2012), 690–701.
BibTeX
@article{Alquran2012,
author = {Alquran, Marwan and Al-Khaled, Kamel and Ali, Mohammed and Ta'any, Ameina},
title = {The combined Laplace transform-differential transform method for solving linear non-homogeneous PDEs},
journal = {J. Math. Comput. Sci.},
volume = {2},
year = {2012},
pages = {690--701},
doi = {}
}