Abstract

In this paper, the system of nonlinear partial differential-algebraic equations is solved by the well-known variational iteration method and the results with high accuracy are obtained by only one iteration. Furthermore, some nanoelectronics models are expressed by partial differential-algebraic equations and one of them is successfully solved by the proposed method. Although solving nonlinear PDAEs is difficult but it is shown that the variational iteration method using Taylor expansion is an efficient method to solve these nonlinear problems.

Key words: Nonlinear partial differential-algebraic equations, variational iteration method, nanoelectronics models.