Abonnement à la biblothèque: Guest
Portail numérique Bibliothèque numérique eBooks Revues Références et comptes rendus Collections
Hybrid Methods in Engineering

ISSN Imprimer: 1099-2391
ISSN En ligne: 2641-7359

Archives: Volume 1, 1999 to Volume 4, 2002

Hybrid Methods in Engineering

DOI: 10.1615/HybMethEng.v2.i2.40
8 pages

DECOMPOSITION METHOD WITH MATHEMATICA

Mikhail D. Mikhailov
Applied Mathematics Center, PO Box 384, Sofia, Technical University, Sofia, Bulgaria; and Mechanical Engineering Department—EE/COPPE/UFRJ, Universidade Federal do Rio de Janeiro, Cidade Universitaria, CP 68.503, Rio de Janeiro, RJ, 21945-970, Brasil

RÉSUMÉ

In contrast to Adomian's approach, the decomposition technique presented herein for solving nonlinear functional equations is made before the solution, which permitted all existing solution techniques to be used. It is demonstrated by examples that the decomposition method gives the same results as the perturbation method. Some examples solved by Adomian are also considered. Notwithstanding that the solutions coincide with a power series expansion of the exact solutions, they converge in the limited region, which is extended by using the Shanks transformation.


Articles with similar content:

On one Approach to the Solution of the Problem of Wave Scattering from a Collection of Strips
Telecommunications and Radio Engineering, Vol.55, 2001, issue 10-11
G.I. Koshevoy
CLOSED-FORM SOLUTIONS FOR UNSTEADY MAGNETOHYDRODYNAMIC FLOWIN A POROUS MEDIUM WITH WALL TRANSPIRATION
Journal of Porous Media, Vol.16, 2013, issue 9
Mohammed Abdulhameed, Arshad Khan, Ilyas Khan, Sharidan Shafie
Homotopy Perturbation Method for General Form of Porous Medium Equation
Journal of Porous Media, Vol.12, 2009, issue 11
Hamideh Ebrahimi, Zainab Ayati, Jafar Biazar
Nonlinear Convection in Porous Media: A Review
Journal of Porous Media, Vol.6, 2003, issue 1
P. G. Siddheshwar, N. Rudraiah, Takashi Masuoka
PERTURBATION METHOD WITH Mathematica
Hybrid Methods in Engineering, Vol.1, 1999, issue 3
Mikhail D. Mikhailov