一类微分方程的数值解法

Numerical Calculation of a Kind of Differential Equation

给出一种求一类线性积分微分方程dy/dt-∫0t(t-s)-1/2y(s)ds=f(t)数值解的方法——Lubich的拉普拉斯变换数值逆,所得数值解的精度较高,计算也较简便.

The article provides a method which can be used to solve numerical solution of a kind of linear integral difequation dy/dt-∫0^t（t-s）^1-/2y（s）ds=f（t）,numerical inversion for the laplace transform of Lubich. The ferential numerical solution has great accuracy, and the calculation is simple.