摘要
如何求解偏微分方程,已经成为各个领域内非常重视的课题.在再生核空间中,给出了变系数偏微分方程的级数形式精确解,为了数值计算,给出了一个迭代方法,并证明了迭代方法的收敛性.数值算例表明本文方法是有效的而且具有良好的实用性.
How to solve the partial differential equation has been attached importance to by all kinds of fields. The exact solution to a class of partial differential equation with variable-coefficient is obtained in reproducing kernel space. To get the approximate solution, an iterative method is given, and convergence of the iterative method is proved. The numerical example shows that the method has effective and good practicability.
出处
《应用数学和力学》
CSCD
北大核心
2008年第1期118-126,共9页
Applied Mathematics and Mechanics
基金
Project supported by the National Natural Science Foundation of China(No.10461005)
关键词
迭代方法
精确解
逼近解
变系数偏微分方程
再生核
iterative method
exact solution
approximate solution
variable-coeffficient partial differentialequation
reproducing kernel
