On the Convergence of Variational Iteration Method for Solving Systems of Conservation Laws

In this study, the Variational Iteration Method (VIM) is considered for solving systems of conservation laws with source terms. This method is based on the use of Lagrange multipliers; it changes the differential equation to a recurrence sequence of functions whose limit is considered as the solution of differential equation. The convergence of this method for solving such equations is presented by introducing the sufficient conditions of convergence and an error estimate. Two examples with physical interests are investigated to verify the effectiveness and reliability of the VIM.