Mathematical Problems in Engineering
Volume 2008 (2008), Article ID 917407, 23 pages
Research Article

Solution of Singular and Nonsingular Initial and Boundary Value Problems by Modified Variational Iteration Method

Muhammad Aslam Noor and Syed Tauseef Mohyud-Din

Department of Mathematics, COMSATS Institute of Information Technology, Islamabad, Pakistan

Received 19 May 2008; Accepted 5 June 2008

Academic Editor: Angelo Luongo

Copyright © 2008 Muhammad Aslam Noor and Syed Tauseef Mohyud-Din. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We apply the modified variational iteration method (MVIM) for solving the singular and nonsingular initial and boundary value problems in this paper. The proposed modification is made by introducing Adomian's polynomials in the correct functional. The suggested algorithm is quite efficient and is practically well suited for use in such problems. The proposed iterative scheme finds the solution without any discretization, linearization, perturbation, or restrictive assumptions. Several examples are given to verify the efficiency and reliability of the suggested algorithm.