Modified Variational Iteration Method for Heat Equation Using He’s Polynomials (communicated by I.p.stavroulakis)

In this paper, we apply the modified variational iteration method (MVIM) for solving heat transfer problems. The proposed modification is made by introducing He’s polynomials in the correction functional. The suggested algorithm is quite efficient and is practically well suited for use in these problems. The proposed iterative scheme finds the solution without any discretization, linearization, or restrictive assumptions. Several examples are given to verify the reliability and efficiency of the method. The fact that the proposed technique solves nonlinear problems without using the Adomian’s polynomials can be considered as a clear advantage of this algorithm over the decomposition method.