On exact solution of Poisson equation with boundary conditions by the homotopy analysis method

摘要：

In this paper, we use the homotopy analysis method (shortly HAM) to obtain the numerical solutions of Poisson equation with boundary conditions. The series solution is developed and the recurrence relations are given explicitly. The initial approximation can be freely chosen with possible unknown constants which can be determined by imposing the boundary and initial conditions. The comparison of the HAM results with the exact solutions is made, the results reveal that the HAM is very effective and simple. The HAM contains the auxiliary parameter h, which provides us with a simple way to adjust and control the convergence region of solution series.

关键词： poisson equation homotopy analysis method variational iteration method

作者: Xindong Zhang Changxiu Ma

作者单位: College of Mathematics Sciences Xinjiang Normal University Urumqi, P.R.China

会议类型: 国际会议

会议名称: The 2010 International Conference on Computer Application and System Modeling(2010计算机应用与系统建模国际会议 ICCASM 2010)

会议地点: 太原

会议语种:英文

页码: 192-194

在线出版日期: 2010-10-22（万方平台首次上网日期，不代表论文的发表时间）