New, Fast Numerical Method for Solving Two-Point Boundary-Value Problems

Raymond Holsapple, Ram Venkataraman, David Doman

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

A numerical method, modified simple-shooting method (MSSM), to solve two-point boundary-value problem (TPBVP) was presented. The method include favourable aspects of the short-shooting method (SSM) and multiple-shooting method (MSM). A comparison of computation time of MSSM, MSM, collocation methods (CM), and finite difference methods (FDM) was illustrated. It was observed that the convergence of the MSSM was proved under mild conditions on the TPBVP. The solutions of MSSM were resulted in a trajectory which satisfied the system differential equations.

Original languageEnglish
Pages (from-to)301-304
Number of pages4
JournalJournal of Guidance, Control, and Dynamics
Volume27
Issue number2
DOIs
StatePublished - 2004

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