Abstract
In this paper, the numerical-analytical solution for the hyperchaotic Chen system is obtained via the multistage homotopy analysis method (MSHAM). An analytical form of the solution within each time interval is given, which is not possible using standard numerical methods. The numerical results obtained by the MSHAM and the classical fourth-order Runge-Kutta (RK4) method are in complete agreement. Moreover, the residual error for the MSHAM solution is given for each time interval.
| Original language | English |
|---|---|
| Article number | 045005 |
| Journal | Physica Scripta |
| Volume | 81 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2010 |
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ASJC Scopus subject areas
- Condensed Matter Physics
- Atomic and Molecular Physics, and Optics
- Mathematical Physics
Cite this
Homotopy approach for the hyperchaotic Chen system. / Alomari, A. K.; Md. Noorani, Mohd. Salmi; Mohd. Nazar, Roslinda.
In: Physica Scripta, Vol. 81, No. 4, 045005, 2010.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Homotopy approach for the hyperchaotic Chen system
AU - Alomari, A. K.
AU - Md. Noorani, Mohd. Salmi
AU - Mohd. Nazar, Roslinda
PY - 2010
Y1 - 2010
N2 - In this paper, the numerical-analytical solution for the hyperchaotic Chen system is obtained via the multistage homotopy analysis method (MSHAM). An analytical form of the solution within each time interval is given, which is not possible using standard numerical methods. The numerical results obtained by the MSHAM and the classical fourth-order Runge-Kutta (RK4) method are in complete agreement. Moreover, the residual error for the MSHAM solution is given for each time interval.
AB - In this paper, the numerical-analytical solution for the hyperchaotic Chen system is obtained via the multistage homotopy analysis method (MSHAM). An analytical form of the solution within each time interval is given, which is not possible using standard numerical methods. The numerical results obtained by the MSHAM and the classical fourth-order Runge-Kutta (RK4) method are in complete agreement. Moreover, the residual error for the MSHAM solution is given for each time interval.
UR - http://www.scopus.com/inward/record.url?scp=77950976377&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77950976377&partnerID=8YFLogxK
U2 - 10.1088/0031-8949/81/04/045005
DO - 10.1088/0031-8949/81/04/045005
M3 - Article
AN - SCOPUS:77950976377
VL - 81
JO - Physica Scripta
JF - Physica Scripta
SN - 0031-8949
IS - 4
M1 - 045005
ER -