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张诚坚《The extended generalized Störmer-Cowell methods for second-order delay boundary value problems》

浏览量:45 文章来源:科学技术与开发处新 文章来源:2018-10-20
张诚坚《The extended generalized Störmer-Cowell methods for second-order delay boundary value problems》


报告人

张诚坚

举办单位

科技处、学科办、研究生处、数统学院

报告题目

The extended generalized Störmer-Cowell methods for second-order delay boundary value problems

报告时间

201810211000

报告地点

厚德楼1516

报告人

所属单位

华中科技大学

报告人职称/职务

二级教授, 博士生导师

报告内容简介

This talk deals with the numerical solutions of second-order delay boundary value problems (DBVPs). The generalized Störmer-Cowell methods (GSCMs) for second-order initial value problems, proposed by Aceto et al., are extended to solve the second-order DBVPs. The existence and uniqueness criterion of the methods is derived. It is proved under the suitable conditions that an extended GSCM is stable, and convergent of order p whenever this method has the consistent order p. The numerical examples illustrate efficiency and accuracy of the methods. Moreover, a comparison between the extended GSCMs and the boundary value methods of first-order BVPs is given. The numerical result shows that the extended GSCMs are comparable.

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