Solving systems of ODEs by homotopy analysis method

A. Sami Bataineh; M. S.M. Noorani; I. Hashim

doi:10.1016/j.cnsns.2007.05.026

Solving systems of ODEs by homotopy analysis method

A. Sami Bataineh
, M. S.M. Noorani
, I. Hashim

Universiti Kebangsaan Malaysia

Research output: Contribution to journal › Article › peer-review

85 Scopus citations

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).

Original language	English
Pages (from-to)	2060-2070
Number of pages	11
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	13
Issue number	10
DOIs	https://doi.org/10.1016/j.cnsns.2007.05.026
State	Published - Dec 2008
Externally published	Yes

Keywords

Genesio system
Homotopy analysis method
Matrix Riccati differential equation
Nonlinearity
Stiff system

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10.1016/j.cnsns.2007.05.026

Cite this

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title = "Solving systems of ODEs by homotopy analysis method",

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 = "Genesio system, Homotopy analysis method, Matrix Riccati differential equation, Nonlinearity, Stiff system",

author = "\{Sami Bataineh\}, A. and Noorani, \{M. S.M.\} and I. Hashim",

year = "2008",

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volume = "13",

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T1 - Solving systems of ODEs by homotopy analysis method

AU - Sami Bataineh, A.

AU - Noorani, M. S.M.

AU - Hashim, I.

PY - 2008/12

Y1 - 2008/12

N2 - 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).

AB - 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).

KW - Genesio system

KW - Homotopy analysis method

KW - Matrix Riccati differential equation

KW - Nonlinearity

KW - Stiff system

UR - https://www.scopus.com/pages/publications/43049183184

U2 - 10.1016/j.cnsns.2007.05.026

DO - 10.1016/j.cnsns.2007.05.026

M3 - Article

AN - SCOPUS:43049183184

SN - 1007-5704

VL - 13

SP - 2060

EP - 2070

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

IS - 10

ER -

Solving systems of ODEs by homotopy analysis method

Abstract

Keywords

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