Adaptive collocation methods for Volterra integral and integro-differential equations

被引：3
|
作者：
Jiang, Yingjun [1 ]
机构：
[1] Changsha Univ Sci & Technol, Dept Math & Sci Computing, Changsha 410076, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 191卷 / 01期
关键词：
Volterra integral equations; Volterra integro-differential equations; collocation methods; a posteriori error estimate;
D O I：
10.1016/j.amc.2006.12.087
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the a posteriori error estimates of collocation methods are derived for Volterra integral and integro-differential equations with smooth and weakly singular kernels. The derived error indicators are constructed in an iterative way and used to adaptively re. ne the meshes in the ports of large gradients. This approach is much more efficient than the collocation methods on the fixed meshes. Numerical computations confirm the analysis via several examples. (c) 2007 Published by Elsevier Inc.
引用
收藏
页码：67 / 78
页数：12
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