The Adomian Decomposition Method for Eigenvalue Problems
Nhawu G*, Mafuta P and Mushanyu J
Department of Mathematics, University of Zimbabwe,MP167,Mount Pleasant, Harare, Zimbabwe
- *Corresponding Author:
- Nhawu G
Department of Mathematics
University of Zimbabwe
MP167, Mount Pleasant
E-mail: [email protected]
Received Date: January 21, 2016 Accepted Date: February 05, 2016 Published Date: February 10, 2016
Citation: Nhawu G, Mafuta P, Mushanyu J (2016) The Adomian Decomposition Method for Eigenvalue Problems. J Appl Computat Math 5:283. doi:10.4172/2168-9679.1000283
Copyright: © 2016 Nhawu G, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
The Adomian decomposition method (ADM) is a powerful method which considers the approximate solution of a non-linear equation as an infinite series which usually converges to the exact solution. In this paper, this method is proposed to solve some eigenvalue problems. It is shown that the series solutions converges to the exact solution for each problem. Then we obtain the eigenvalues of these problems.