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:

COMPARATIVE STUDY OF DIFFERENT EIGENFUNCTION BASED APPROACHES FOR 1D MULTILAYER HEAT CONDUCTION PROBLEM WITH TIME DEPENDENT BOUNDARY CONDITIONS
Proceedings of the 24th National and 2nd International ISHMT-ASTFE Heat and Mass Transfer Conference (IHMTC-2017), Vol.0, 2017, issue
Pranay Biswas, Suneet Singh
A NEW COMPUTATIONAL METHOD FOR TRANSIENT HEAT CONDUCTION IN ARBITRARILY SHAPED REGIONS
International Heat Transfer Conference 4, Vol.1, 1970, issue
Wheeler K. Mueller, Richard H. Thaler
INTEGRAL METHOD OF BOUNDARY CHARACTERISTICS: THE DIRICHLET CONDITION. PRINCIPLES
Heat Transfer Research, Vol.47, 2016, issue 11
Valery A. Kot
ON AN INTEGRAL METHOD APPLIED TO THE RESOLUTION OF CERTAIN PROBLEMS IN FLUID MECHANICS (NATURAL CONVECTION WITH OR WITHOUT VOLUMETRIC HEAT SOURCE)
International Heat Transfer Conference 7, Vol.3, 1982, issue
M.N. Sabry
HYPERBOLIC HEAT CONDUCTION IN COMPOSITE REGIONS
International Heat Transfer Conference 8, Vol.2, 1986, issue
Brian Vick, M. N. Ozisik, Jay I. Frankel