Adomian decomposition method for solution of differential-algebraic equations

Authors:
M. M. Hosseini
Affiliations:
Department of Mathematics, Yazd University, Yazd, Iran
Venue:
Journal of Computational and Applied Mathematics
Year:
2006

Citing 5
Cited 1

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Adomian's polynomials for nonlinear operators

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Abstract

Solutions of differential algebraic equations is considered by Adomian decomposition method. In E. Babolian, M.M. Hosseini [Reducing index and spectral methods for differential-algebraic equations, J. Appl. Math. Comput. 140 (2003) 77] and M.M. Hosseini [An index reduction method for linear Hessenberg systems, J. Appl. Math. Comput., in press], an efficient technique to reduce index of semi-explicit differential algebraic equations has been presented. In this paper, Adomian decomposition method is applied to reduced index problems. The scheme is tested for some examples and the results demonstrate reliability and efficiency of the proposed methods.