J Vahidi - Department of Mathematics, Iran University of Science and Technology, Behshahr, Iran
A Nikkar - Department of Civil Engineering, Shomal University, Amol
M. Mighani

One of the newest analytical methods to solve nonlinear equations is Reconstruction of variational Iteration Method (RVIM) which is an accurate and a rapid convergencemethod in finding the approximate solution for nonlinear equations. In these papers, (RVIM) is implemented to solve the initial and boundary value problems of Bratutypewhich are widely applicable in fuel ignition of the combustion theory and heat transfer. Several examples are given to confirm the efficiency and the accuracy of the proposed algorithm.

Reconstruction of Variational Iteration Method (RVIM), Bratu’s problem, boundary value problems, initial value problems