A modified simple shooting method for solving two-point boundary-value problems

Raymond Holsapple, Ram Venkataraman, David Doman

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

29 Scopus citations

Abstract

In the study of mechanics and optimal control, one often encounters what is called a two-point boundary-value problem (TPBVP). A couple of methods exist for solving these problems, such as the Simple Shooting Method (SSM) and its variation, the Multiple Shooting Method (MSM). In this paper a new method is proposed that was designed from the favorable aspects of both the SSM and the MSM. The Modified Simple Shooting Method (MSSM) sheds undesirable aspects of both previously mentioned methods to yield a superior, faster method for solving TPBVPs. The convergence of the MSSM is proven under mild conditions on the TPBVP. A comparison of the MSM and the MSSM is made for a problem where both methods converge. We also provide a second example where the MSM fails to converge while the MSSM converges rapidly.

Original languageEnglish
Title of host publication2003 IEEE Aerospace Conference, Proceedings
Pages2783-2790
Number of pages8
DOIs
StatePublished - 2003
Event2003 IEEE Aerospace Conference - Big Sky, MT, United States
Duration: Mar 8 2003Mar 15 2003

Publication series

NameIEEE Aerospace Conference Proceedings
Volume6
ISSN (Print)1095-323X

Conference

Conference2003 IEEE Aerospace Conference
Country/TerritoryUnited States
CityBig Sky, MT
Period03/8/0303/15/03

Fingerprint

Dive into the research topics of 'A modified simple shooting method for solving two-point boundary-value problems'. Together they form a unique fingerprint.

Cite this