The multistage homotopy perturbation method for solving hyperchaotic Chen system

Finding accurate and efficient methods for solving nonlinear hyper chaotic problems has long been an active research undertaking. Like the well-known Adomian decomposition method (ADM) and based on observations, it is hopeless to find HPM solutions of hyper chaotic systems valid globally in time....

全面介紹

Saved in:
書目詳細資料
Main Authors: Chowdhury, Md. Sazzad Hossien, Razali, Nur Isnida, Asrar, Waqar
格式: Conference or Workshop Item
語言:English
English
出版: IOP Publishing Ltd. 2018
主題:
在線閱讀:http://irep.iium.edu.my/61805/1/The%20Multistage%20Homotopy%20Perturbation%20method%20for%20solving%20Hyperchaotic%20Chen%20system.pdf
http://irep.iium.edu.my/61805/7/61805_The%20Multistage%20Homotopy%20Perturbation%20method_scopus.pdf
http://irep.iium.edu.my/61805/
http://iopscience.iop.org/article/10.1088/1742-6596/949/1/012005
標簽: 添加標簽
沒有標簽, 成為第一個標記此記錄!
機構: Universiti Islam Antarabangsa Malaysia
語言: English
English
實物特徵
總結:Finding accurate and efficient methods for solving nonlinear hyper chaotic problems has long been an active research undertaking. Like the well-known Adomian decomposition method (ADM) and based on observations, it is hopeless to find HPM solutions of hyper chaotic systems valid globally in time. To overcome this shortcoming, we employ the multistage homotopy-perturbation method (MHPM) to the nonlinear hyperchaotic Chen system. Based on the cases investigated, MHPM is more stable for a longer time span than the standard HPM. Comparisons with the standard HPM and the well-known purely numerical fourth-order Runge-Kutta method (RK4) suggest that the MHPM is a powerful alternative for nonlinear hyper chaotic system. The new algorithm and the new technique for choosing the initial approximations were shown to yield rapidly convergent series solutions.