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A new algorithm for the decomposition solution of nonlinear differential equations
Journal article   Open access  Peer reviewed

A new algorithm for the decomposition solution of nonlinear differential equations

S.H. Behiry, H. Hashish, I.L. El-Kalla and A. Elsaid
Computers & mathematics with applications (1987), Vol.54(4), pp.459-466
01/08/2007

Abstract

Adomian decomposition method Adomian polynomials Nonlinear differential equations
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.
url
https://doi.org/10.1016/j.camwa.2006.12.027View
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