WIT Press


Decomposition Method Applications To Hydrological Phenomena Modelling

Price

Free (open access)

Paper DOI

10.2495/AFM000211

Volume

29

Pages

9

Published

2000

Size

664 kb

Author(s)

Pujol, F.A. and Grimalt, P.

Abstract

In some papers (Adornian[6], Adomian[7], Adomian[9]), G. Adomian has presented a decomposition technique in order to solve different non-linear equations (algebraic, differential, partial differential, integral, ...). The solution is found as an infinite series which quickly converges to accurate solutions. The method is well-suited to physical problems since it makes the linearization, perturbation and other restrictive methods and assumptions which may change the problem being solved, sometimes seriously, unnecessary. In (Abbaoui[l], Abbaoui[2], Abbaoui[3], Abbaoui[4], Cherruault[ll], Cherruault[12], Cherruault[13], Guellal[15]) a proof of convergence is given by Prof. Cherruault and co-authors. Many numerical studies for physical phenomena, such as Fisher

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