Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 13, Issue 10, Pages 2060-2070Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2007.05.026
Keywords
nonlinearity; stiff system; matrix Riccati differential equation; Genesio system; homotopy analysis method
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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). (c) 2007 Elsevier B.V. All rights reserved.
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