Solving IVP with ODE Solver Commands

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Copyright: 2025
Pages: 32
Source title: ODE, BVP, and 1D PDE Solvers for Scientific and Engineering Problems With MATLAB Basics
Source Author(s)/Editor(s): Leonid Burstein (ORT Braude College of Engineering, Israel (Retired))
DOI: 10.4018/978-1-6684-6850-0.ch006

Keywords: Computer Science & IT / Engineering Science Reference / Programming Languages / Systems and Software Engineering

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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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