VARIATION OF PARAMETERS METHOD FOR SOLVING SIXTH-ORDER BOUNDARY VALUE PROBLEMS

- Journal title : Communications of the Korean Mathematical Society
- Volume 24, Issue 4, 2009, pp.605-615
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/CKMS.2009.24.4.605

Title & Authors

VARIATION OF PARAMETERS METHOD FOR SOLVING SIXTH-ORDER BOUNDARY VALUE PROBLEMS

Mohyud-Din, Syed Tauseef; Noor, Muhammad Aslam; Waheed, Asif;

Mohyud-Din, Syed Tauseef; Noor, Muhammad Aslam; Waheed, Asif;

Abstract

In this paper, we develop a reliable algorithm which is called the variation of parameters method for solving sixth-order boundary value problems. The proposed technique is quite efficient and is practically well suited for use in these problems. The suggested iterative scheme finds the solution without any perturbation, discritization, linearization or restrictive assumptions. Moreover, the method is free from the identification of Lagrange multipliers. The fact that the proposed technique solves nonlinear problems without using the Adomian's polynomials can be considered as a clear advantage of this technique over the decomposition method. Several examples are given to verify the reliability and efficiency of the proposed method. Comparisons are made to reconfirm the efficiency and accuracy of the suggested technique.

Keywords

variation of parameters;nonlinear problems;initial value problems;boundary value problems;error estimates;

Language

English

Cited by

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