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The ODE- and BVP-Solvers With M&T Applications

The ODE- and BVP-Solvers With M&T Applications

Copyright: © 2021 |Pages: 25
ISBN13: 9781799870784|ISBN10: 1799870782|ISBN13 Softcover: 9781799870791|EISBN13: 9781799870807
DOI: 10.4018/978-1-7998-7078-4.ch006
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MLA

Leonid Burstein. "The ODE- and BVP-Solvers With M&T Applications." MATLAB® With Applications in Mechanics and Tribology, IGI Global, 2021, pp.166-190. https://doi.org/10.4018/978-1-7998-7078-4.ch006

APA

L. Burstein (2021). The ODE- and BVP-Solvers With M&T Applications. IGI Global. https://doi.org/10.4018/978-1-7998-7078-4.ch006

Chicago

Leonid Burstein. "The ODE- and BVP-Solvers With M&T Applications." In MATLAB® With Applications in Mechanics and Tribology. Hershey, PA: IGI Global, 2021. https://doi.org/10.4018/978-1-7998-7078-4.ch006

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Abstract

The chapter introduces solvers for solving initial and boundary value problems (IVP&BVP) of the ordinary differential equation (ODE). It begins with a description of the ODE solver commands applied to the initial value problem and presents the steps for solving the actual ODE. Further, the chapter presents the BVP-solver commands and steps for their usage. The solutions are presented through real examples. In the final part, the studied ODE and BVP commands are applied, mainly to problems oriented for mechanics and tribology (M&T). At the end of the chapter, applications to the M&T problems are presented; they illustrate how to solve IVP for the spring-mass system and particle falling, as well as BVP for a single clamped beam and hydrodynamic lubrication of a sliding surface covered with semicircular pores.

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