A new algorithm for the decomposition solution of nonlinear differential equations

Authors:
S. H. Behiry;H. Hashish;I. L. El-Kalla;A. Elsaid
Affiliations:
Mathematics and Engineering Physics Department, Faculty of Engineering, Mansoura University, PO 35516, Mansoura, Egypt;Mathematics and Engineering Physics Department, Faculty of Engineering, Mansoura University, PO 35516, Mansoura, Egypt;Manufacturing and System Engineering Department, School of Engineering and Built Environment, Wolverhampton University, Telford TF2 9NT, Shropshire, United Kingdom;Mathematics and Engineering Physics Department, Faculty of Engineering, Mansoura University, PO 35516, Mansoura, Egypt
Venue:
Computers & Mathematics with Applications
Year:
2007

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Abstract

In this paper, we introduce a new algorithm for applying the Adomian decomposition method to nonlinear differential and partial differential equations. The proposed algorithm does not require the explicit evaluation of Adomian polynomials to approximate the nonlinearity term. The numerical experiments show that the proposed algorithm is more accurate at larger values for time, though at the cost of more computations.