Application of He’s variational iteration method for solution of differential-algebraic equations

In this paper, He’s variational iteration method is applied for finding the solution of linear and nonlinear differential-algebraic equations. First an index reduction technique is implemented for semi-explicit and Hessenberg differential-algebraic equations, then a correction functional is constructed by a general Lagrange multiplier, which can be identified via variational theory. This technique provides a sequence of functions which converges to the exact solution of the problem. The scheme is tested for some high index differential-algebraic equations and the results demonstrate reliability and efficiency of the proposed method.