二阶常微分方程的一个有限差分并行算法

A Finite Difference Parallel Algorithm for the Second Order Ordinary Differential Equation

针对二阶常微分方程的初边值问题,从其差分离散得到的代数方程组出发,采用一些消元技巧,构造了一个并行算法,分析了算法的稳定性和收敛性,给出了相应的数值算例.

For the initial-boundary v.alue problem of the second-order ordinary differential equation, finite difference method is used and a system of algebra equations is obtained. Then using some elimination technique, a new parallel algorithm is deduced. Stability and convergence of the algorithm is proved. Numerical examples are given to illustrate the theoretical results.