Adomian decomposition method for solution of nonlinear differential algebraic equations

In [M.M. Hosseini, Adomian decomposition method with Chebyshev polynomials, Appl. Math. Comput., in press] an efficient modification of the Adomian decomposition method was presented by using Chebyshev polynomials. Also, in [M.M. Hosseini, Adomian decomposition method for solution of differential algebraic equations, J. Comput. Appl. Math., in press] solution of linear differential algebraic equations was considered by Adomian decomposition method. In this paper, standard and modified Adomian decomposition methods are applied to non-linear differential algebraic equations. The schemes are tested for some examples and the results demonstrate reliability and efficiency of the proposed methods.