Challenge in the variational iteration method – A new approach to identification of the Lagrange multipliers

The variational iteration method has been one of the most often used analytical methods in the past ten years. However, the success of the method mainly depends upon accurate identifications of the Lagrange multipliers. This study suggests a universal way to identify the multiplier which is a simple but effective approach by implementing Laplace transform. The Adomian series and the Pade technique are also employed to accelerate the convergence of the variational iteration algorithm. An example is given to elucidate the solution process and reliability of the solution.