Convergence and Stability in Collocation Methods of Equation u′(t)=au(t)+bu([t])

This paper is concerned with the convergence, global superconvergence, local superconvergence, and stability of collocation methods for u′(t)=au(t)+bu([t]). The optimal convergence order and superconvergence order are obtained, and the stability regions for the collocation methods are determined. Th...

Full description

Saved in:
Bibliographic Details
Main Authors: Han Yan, Shufang Ma, Yanbin Liu, Hongquan Sun
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/125926
Tags: Add Tag
No Tags, Be the first to tag this record!