Exact solution for linear and nonlinear systems of PDEs by Homotopy-Perturbation method.

• Main Authors: Chowdhury, M.S.H., Hashim, I., Ismail, A.F., Rahman, Md. Mahmudur, Momani, S.
• Format: Article
• Language: English; English
• Published: INSInet Publication 2011
• Online Access: http://psasir.upm.edu.my/id/eprint/25088/1/Exact%20solution%20for%20linear%20and%20nonlinear%20systems%20of%20PDEs%20by%20Homotopy.pdf; http://psasir.upm.edu.my/id/eprint/25088/; http://www.ansinet.com/

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...