A Method for the Approximate Solution of Linear Integro-Differential Equations
A Method for the Approximate Solution of Linear Integro-Differential Equations
复制标题
线性积分微分方程近似解的方法
DOI：
10.1137/0711014
复制
发表时间：
1974
影响因子：
2.9
通讯作者：
P. Linz
中科院分区：
文献类型：
--
作者：
P. Linz
讨论了求解一类Fredholm型线性积分微分方程的近似方法。积分微分方程被简化为 Fredholm 积分方程，并使用 Nystrom 方法建立数值程序。给出了简单积分微分方程的收敛定理。指出了该方法对更复杂情况的扩展。
Approximate methods for solving a class of linear integro-differential equations of the Fredholm type are discussed. The integro-differential equations are reduced to Fredholm integral equations and Nystrom’s method is used to establish numerical procedures. A convergence theorem is given for a simple integro-differential equation. Extensions of the method to more complicated cases are indicated.