Shooting methods for state-dependent impulsive boundary value problems, with applications

被引：6

作者：

Auzinger, Winfried ^{[1
]}

Burkotova, Jana ^{[2
]}

Rachunkova, Irena ^{[2
]}

Wenin, Victor ^{[3
]}

机构：

[1] Vienna Univ Technol, Inst Analysts & Sci Comp, Wiedner Hauptstr 8-10, A-1040 Vienna, Austria

[2] Palacky Univ, Fac Sci, Dept Math Anal & Applicat Math, 17 Listopadu 12, Olomouc 77146, Czech Republic

[3] Univ Vienna, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria

来源：

APPLIED NUMERICAL MATHEMATICS | 2018年 / 128卷

关键词：

Nonlinear boundary value problems; State-dependent impulses; Shooting method; BVPS;

D O I：

10.1016/j.apnum.2018.02.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For impulsive boundary value problems whose solutions encounter discontinuities (jumps) at a priori not known positions depending on the solution itself, numerical methods have not been considered so far. We extend the well-known shooting approach to this case, combining Newton iteration with the numerical solution of impulsive initial value problems. We discuss conditions necessary for the procedure to be well-defined, and we present numerical results for several examples obtained with an experimental code realized in MATLAB.(1) (C) 2018 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：217 / 229

页数：13

共 8 条

[1]

[Anonymous], 2002, Texts in Applied Mathematics

[2] On the Dirichlet problem in billiard spaces [J].