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Solving IVP with ODE Solver Commands

Solving IVP with ODE Solver Commands

Copyright: © 2025 |Pages: 32
DOI: 10.4018/978-1-6684-6850-0.ch006
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Abstract

The chapter presents solvers of initial value problems (IVP) of an ordinary differential equation (ODE). The steps required to solve the explicit and implicit differential-algebraic equations (DAE) using available MATLAB® ode-solvers are described in detail. The solutions are presented through real examples. In the final part, the studied ode-solver commands are used to solve various engineering problems. These include the IVP ODE solutions for second order electrical circuit, cantilever beam deflection, relative strength of the opposing military forces, atmospheric behavior model, and kinetic-type DAE system, as well as some others.
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6.2. Solvers For Odes And Daes

MATLAB® ODE solvers are designed to solve explicit ODEs 978-1-6684-6850-0.ch006.m01, implicit ODEs 978-1-6684-6850-0.ch006.m02, and differential algebraic equations (DAEs); the latter are systems of ODEs that include equation/s that do not contain differential terms 978-1-6684-6850-0.ch006.m03. The following describes how to use the available software tools.

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