一类积分微分方程的解法

Solving class of integro-differential equations in reproducing kernel space

在再生核空间W22[0,1]中讨论一类积分微分方程的求解方法,给出方程的准确解,准确解用级数形式表达,通过截断准确解的级数表达式可直接得到方程的近似解,并且近似解一致收敛于准确解;数值试验说明此方法是有效的。

This paper discusses a new method for a class of integro-differential equations in reproducing kernel space.Its exact solution is represented.The approximate solution is obtained by truncating the exact solution and the convergence is guaranteed.Numerical example is studied to demonstrate the accuracy of the present method.