Title of article
Solving systems of ODEs by homotopy analysis method
Author/Authors
A. Sami Bataineh، نويسنده , , A. and Noorani، نويسنده , , M.S.M. and Hashim، نويسنده , , I.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
11
From page
2060
To page
2070
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).
Keywords
Stiff system , Nonlinearity , Matrix Riccati differential equation , Homotopy analysis method , Genesio system
Journal title
Communications in Nonlinear Science and Numerical Simulation
Serial Year
2008
Journal title
Communications in Nonlinear Science and Numerical Simulation
Record number
1533869
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