利用运算矩阵数值求解常微分方程的改进方法

An Improved Numerical Method for ODE via Operational Matrices

给出一种基于Haar小波积分运算矩阵求解常微分方程的改进方法,称之为区间分段法.在相同误差条件下,该方法计算速度更快,同时,对于不同的子区间,可根据精度的要求来设定离散点数,增加了应用的灵活性.

Based on ilaar wavelets operational matrix of integration, an improved method is obtained which is called piecewise method for solving ODE. Under the same errors, its speed is faster. At the same time, for the different subintervals, different uolloeate points can be set based on the need of precision, so it can be applied better.