Solving systems of ODEs by homotopy analysis method |
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| Authors: | A Sami Bataineh MSM Noorani I Hashim |
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| Institution: | aSchool of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia |
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| 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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| Keywords: | Nonlinearity Stiff system Matrix Riccati differential equation Genesio system Homotopy analysis method |
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