Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
759550 | Communications in Nonlinear Science and Numerical Simulation | 2008 | 11 Pages |
Abstract
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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Authors
A. Sami Bataineh, M.S.M. Noorani, I. Hashim,