Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5776702 | Applied Numerical Mathematics | 2017 | 11 Pages |
Abstract
This paper deals with a class of functional differential equations with piecewise continuous arguments. Block boundary value methods (BBVMs) are extended to solve this class of equations. It is shown under the Lipschitz condition that the order of convergence of an extended block boundary value method coincides with its order of consistency. Moreover, we study the linear stability of the extended methods and give the corresponding asymptotical stability criterion. In the end, with several numerical examples, the theoretical results and the computational effectiveness of the methods are further illustrated.
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
Cui Li, Chengjian Zhang,