Mathematical Problems in Engineering
Volume 2008 (2008), Article ID 917407, 23 pages
doi:10.1155/2008/917407
Abstract
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.