Differential Equations and Dynamics Seminar
Matching Equation for Multiple Subdomain Solution of BVP in ODEs, Hajrudin (Rudy) Pasic, Ohio University, Department of Mechanical Engineering.
| What |
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|---|---|
| When |
Mar 02, 2009 from 04:10 pm to 05:00 pm |
| Where | Morton 122 |
| Contact Name | Todd Young |
| Contact Email | young@math.ohiou.edu |
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Title: Matching Equation for Multiple Subdomain Solution of BVP in ODEs
Abstract:
Boundary Value Problems (BVP) in ODEs are frequently solved as initial value problems and using shooting methods. Often, this and other approaches have a severe limitation, and to solve the problem the domain is cut into smaller domains and so-called multiple shooting must be used. Using this approach, to solve a system of n differential equations and if using m subdomains, one needs to find roots of nm equations by iteration.
In this new approach, a simple formula is derived to analytically match the subdomain solutions. Several well known test problems involving 2-nd order BVPs are solved for illustration.
