A Fast Galerkin Scheme for Linear Integro-differential Equations
A Fast Galerkin Scheme for Linear Integro-differential Equations
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线性积分微分方程的快速伽辽金方案
DOI：
10.1093/imanum/1.2.193
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发表时间：
1981
影响因子：
2.1
通讯作者：
L. Delves
中科院分区：
文献类型：
--
作者：
E. Babolian;L. Delves
我们描述了一种求解一阶和二阶常积分微分方程的展开方法，它是第二类积分方程的快速伽辽金格式的推广（Delves，1977a；Delves，Abd-Elal & Hendry，1979）。该方法保留了该方案的O(N2InN)运算次数，并特别关注边界条件的结合方式，目的是还保留快速伽辽金方程的稳定结构及其非常快速的收敛性。误差分析和数值示例表明这些目标已经实现。
We describe an expansion method for the solution of first order and second order ordinary integro-differential equations, which is a generalization of the Fast Galerkin scheme for second kind integral equations (Delves, 1977a; Delves, Abd-Elal & Hendry, 1979). The method retains theO(N2InN) operation count of that scheme, and pays particular attention to the way in which the boundary conditions are incorporated, with the aim of retaining also the stable structure of the Fast Galerkin equations, and its very rapid convergence. An error analysis, and numerical examples, indicate that these aims are met.