Exact solutions of Laplace equation by differential transform method
Analysis of PDEs
2013-12-30 v1
Abstract
In this paper, we solve Laplace equation analytically by using differential transform method. For this purpose, we consider four models with two Dirichlet and two Neumann boundary conditions and obtain the corresponding exact solutions. The obtained results show the simplicity of the method and massive reduction in calculations when one compares it with other iterative methods, available in literature. It is worth mentioning that here only a few number of iterations are required to reach the closed form solutions as series expansions of some known functions.
Cite
@article{arxiv.1312.7277,
title = {Exact solutions of Laplace equation by differential transform method},
author = {M. Jamil Amir and M. Yaseen and Rabia Iqbal},
journal= {arXiv preprint arXiv:1312.7277},
year = {2013}
}
Comments
8 pages, submitted for publication