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ISSN: 1099-2391 Print
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Pages: 120
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DECOMPOSITION METHOD WITH MATHEMATICA
Mikhail D. Mikhailov
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
ABSTRACT
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.
pages 8
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Volume 4, 2002 Volume 3, 2001 Volume 2, 2000 Volume 1, 1999
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