改进的郭涛算法解一类有限元离散常微分方程

Improved Guotao algorithm for a kind of ordinary differential equation discretized by finite element method

文章提出了改进的郭涛算法,并运用该算法解区域分裂、有限元离散之后的非线性常微分方程两点边值问题。数值结果表明该算法能很好地收敛到准确解,精度较高。

In this paper we put forward improved Guotao algorithm. Then we efficiently solve the two point boundary value problem of nonlinear ordinary differential equation discretized by finite element method in small areas which is divided by domain decomposition method.. Numerical experiments show that the algorithm performs well on convergence to the exact solution and the accuracy is also satisfied.