一类常系数非齐次线性微分方程特解的迭代求法

The Iterate Algorithm of Special Solution for a Kind of Inhomogeneous Linear Differential Equations with Constant Coefficients

给出一类常系数非齐次线性微分方程特解的迭代求法及相应的Fortran95程序,从算法上避免了拉格朗日系数变易法与待定系数法的繁杂运算,从实践上为利用计算机求解微分方程提供了理论保证与操作程序.

In this paper, we present an iterate algorithm to get the special solution for a kind of inhomogeneous linear differential equations with constant coefficients, and develop the corresponding Fortran95 program for the iterate algorithm. This algorithm avoids the troublesome operations in Lagrange method of variation of constants and that of indeterminate coefficients, and provides the theoretic basis and the operation procedures for using the computer to solve differential equations.