Name
Title | ||
|---|---|---|
On solving the chaotic Chen system: a new time marching design for the variational iteration method using Adomian's polynomial |
Abstract | ||
|---|---|---|
This paper centres on the effectiveness of the variational iteration method and its modifications for numerically solving
the chaotic Chen system, which is a three-dimensional system of ODEs with quadratic nonlinearities. This research implements
the multistage variational iteration method with an emphasis on the new multistage hybrid of variational iteration method
with Adomian polynomials. Numerical comparisons are made between the multistage variational iteration method, the multistage
variational iteration method using the Adomian’s polynomials and the classic fourth-order Runge-Kutta method. Our work shows
that the new multistage hybrid provides good accuracy and efficiency with a performance that surpasses that of the multistage
variational iteration method. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1007/s11075-009-9333-9 | Numerical Algorithms |
Keywords | Field | DocType |
Chen system,Variational iteration method,Adomian polynomials,Runge-Kutta method | Runge–Kutta methods,Mathematical optimization,Polynomial,Mathematical analysis,Fixed-point iteration,Quadratic equation,Adomian decomposition method,Chaotic,Mathematics,Power iteration,Ode | Journal |
Volume | Issue | ISSN |
54 | 2 | 1017-1398 |
Citations | PageRank | References |
3 | 0.49 | 10 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| S. M. Goh | 1 | 3 | 0.49 |
| M. S. M. Noorani | 2 | 44 | 7.24 |
| Ishak Hashim | 3 | 75 | 16.70 |