Shooting Methods for Linear Boundary Value Problems

Martin Hermann and Masoud Saravi
Additional contact information
Martin Hermann: Friedrich Schiller University, Institute of Applied Mathematics
Masoud Saravi: Islamic Azad University Nour Branch, Department of Mathematics

Chapter Chapter 8 in A First Course in Ordinary Differential Equations, 2014, pp 241-277 from Springer

Abstract: Abstract The final Chap. 8 deals with shooting methods for the solution of linear two-point boundary value problems. After the definition of a two-point boundary value problem and the classification of the boundary conditions in separated, non-separated, and partially separated conditions, the simple shooting method is presented. Then, the method of complementary functions is derived from the simple shooting method under the assumption that the boundary conditions are partially separated. The discussion of the stability of the simple shooting method and the method of complementary functions shows that these techniques have to be improved. The corresponding (improved) segmented methods are the multiple shooting method and the stabilized march method. Both methods are described in detail. Their better stability behavior is shown.

Keywords: Simple Shooting; Complementary Functions; Multiple Shoot; Linear Algebraic System; First-order Nonlinear ODEs (search for similar items in EconPapers)
Date: 2014
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-81-322-1835-7_8

Ordering information: This item can be ordered from
http://www.springer.com/9788132218357

DOI: 10.1007/978-81-322-1835-7_8

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().