Article ID Journal Published Year Pages File Type
759550 Communications in Nonlinear Science and Numerical Simulation 2008 11 Pages PDF
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).

Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
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