The VIM for solving a nonlinear inverse parabolic problem

Abstract

In this paper, we will use the variational iteration method (VIM) for the determination of unknown coefficients in an inverse heat conduction problem (IHCP). The VIM, which is a modified general Lagrange multiplier method, has been attracted a lot of attention of the researchers for solving different problems. Applying this technique, a rapid convergent sequence to the exact solution is produced. Moreover, this method does not require any discretization, linearization or small perturbation. Therefore it can be considered as an efficient method to solve the various kinds of problems. To show the strength of the method, some examples are given.