Block boundary value methods applied to functional differential equations with piecewise continuous arguments

报告题目:  Block boundary value methods applied to functional differential equations with piecewise continuous arguments

报告人:张诚坚教授,华中科技大学数学系

报告时间:2017年6月12日下午3:30-4:30

报告地点:山东大学数学学院知新楼B1248

摘要:This talk 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.