The multistage homotopy-perturbation method: a powerful scheme for handling the Lorenz system
In this paper, a new reliable algorithm based on an adaptation of the standard homotopy-perturbation method (HPM) is presented. The HPM is treated as an algorithm in a sequence of intervals (i.e. time step) for finding accurate approximate solutions to the famous Lorenz system. Numerical comparisons...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier, Inc.
2009
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/6663/ http://irep.iium.edu.my/6663/ http://irep.iium.edu.my/6663/ http://irep.iium.edu.my/6663/1/The_multistage_homotopy-perturbation_method__A_powerful_scheme_for_handling_the_Lorenz_system.pdf |
| Summary: | In this paper, a new reliable algorithm based on an adaptation of the standard homotopy-perturbation method (HPM) is presented. The HPM is treated as an algorithm in a sequence of intervals (i.e. time step) for finding accurate approximate solutions to the famous Lorenz system. Numerical comparisons between the multistage homotopy-perturbation method (MHPM) and the classical fourth-order Runge–Kutta (RK4) method reveal that the new technique is a promising tool for the nonlinear systems of ODEs |
|---|