The Adomian Decomposition Method for Eigenvalue Problems

[摘要] 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.

[关键词] Adomian decomposition method;Eigenvalue problems;Non-linear operator;Boundary conditions