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Solving systems of ODEs by homotopy analysis method

✍ Scribed by A. Sami Bataineh; M.S.M. Noorani; I. Hashim

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 231 KB
Volume: 13
Category: Article
ISSN: 1007-5704
DOI: 10.1016/j.cnsns.2007.05.026

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✦ Synopsis

This paper applies the homotopy analysis method (HAM) to systems of ordinary differential equations (ODEs). The systems investigated include stiff systems, the chaotic Genesio system and the matrix Riccati-type differential equation. The HAM gives approximate analytical solutions which are of comparable accuracy to the seven-and eight-order Runge-Kutta method (RK78).

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