Iterative Methods for Nonlinear Equations Using Homotopy Perturbation Technique

作者：Noor Muhammad Aslam^*

来源：Applied Mathematics and Information Sciences, 2010, 4(2): 227-235.

• Homotopy method
• iterative method
• convergence
• Newton method
• coupled system of equations

In this paper, we suggest and analyze some iterative methods for solving nonlinear equations using the homotopy perturbation technique coupled with system of equations. In addition, we show that the homotopy polynomial is exactly the the Adomian polynomial and this establishes the equivalence between the homotopy perturbation and decomposition techniques. Our method of establishing the equivalence between these methods is very simple as compared with others.

• 出版日期2010-5