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MATLAB® Commands and Numerical Methods

MATLAB® Commands and Numerical Methods
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Copyright: 2025
Pages: 31
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.ch004

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Abstract

The chapter presents numerical methods and corresponding MATLAB® commands based on these methods and designed to solve problems that arise in science and technology. The explicated methods, along with the developed live script programs, are the most popular and frequently used in solving many actual problems, in particular, in performing and processing solutions to ODEs, BVPs, and PDEs. Topics of the chapter include solving linear equations, interpolation and extrapolation, solving nonlinear equation with one unknown, integration, differentiation, and fitting by polynomials. Various applications are provided throughout the chapter and at its end; they illustrate how to fit, interpolate and extrapolate the electric resistance-temperature data, determine specific volume from the P(V,T) equation of state, calculate integral of the gas fugacity, obtain derivative representing the linear coefficient of thermal expansion, as well as another actual problems.

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