Exact solution for linear and nonlinear systems of PDEs by homotopy-perturbation method

• Main Authors: Chowdhury, Md. Sazzad Hossien, Hashim, Ishak, Ismail, Ahmad Faris, Rahman, M. M., Momani, Shaher Mohammad
• Format: Article
• Language: English
• Published: INSI Publications 2011
• Subjects: QA76 Computer software
• Online Access: http://irep.iium.edu.my/19547/1/Exact_Solution_for_Linear_and_Nonlinear_Systems_of_Pdes_by_Homotopy-Perturbation_Method.pdf; http://irep.iium.edu.my/19547/; http://www.insipub.com/ajbas/2011/December-2011/3295-3305.pdf

In this paper, the homotopy-perturbation method (HPM)proposed by J.-H. He is adopted for solving linear and nonlinear systems of partial differential equations (PDEs). In this method, a homotopy parameter p, which takes the values from 0 to 1, is introduced. When p = 0, the system of equations usua...