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Research Article Open access CC BY 3.0

Semi-analytical Approximation for Solving High-order Sturm-Liouville Problems

A. H. S. Taher, A. Malek, A. S. A. Thabet

Journal of Advances in Mathematics and Computer Science · pp. 3345–3357 · Published 1 Oct 2014

10.9734/BJMCS/2014/13503

Abstract

In this paper, an algorithm for solving high-order non-singular Sturm-Liouville eigenvalue problems is proposed. A modified form of Adomian decomposition method is implemented to provide a semianalytical solution in the form of a rapidly convergent series. Convergent analysis and error estimate based on the Banach fixed-point is discussed. Five high-order Sturm-Liouville problems are solved numerically. Numerical results demonstrate reliability and efficiency of the proposed scheme.

High-order Sturm-Liouville problems Modified Adomian decomposition method Banach fixed point theorem; Eigenvalues Eigenfunctions.

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