Numerical Methods with MATLAB (original) (raw)

Scientific Computing with MATLAB

Texts in Computational Science and Engineering, 2003

Cover figure by Marzio Sala Cataloging-in-Publication Data applied for Bibliographic information published by Die Deutsche Bibliothek Die Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographic data is available in the Internet at http://dnb.ddb.de.

Applications of MATLAB in Natural Sciences: A Comprehensive Review

European Journal of Theoretical and Applied Sciences, 2023

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The MATLAB Programs for Some Numerical Methods and Algorithms (II

In[1] , We have listed and described some numerical methods and techniques for the reader so that he can be acquainted with them and then a description program flow chart is mentioned without the Matlab Software Program. Here , the Matlab Software Program for the Methods and Algorithms mentioned in [1]. The SOFTWARE PROGRAMS are for Differentiation, Integration and Ordinary Differential Equations.

MATLAB SOLUTIONS TO THE CHEMICAL ENGINEERING PROBLEM SET

These solutions are for a set of numerical problems in chemical engineering. The problems were developed by Professor Michael B. Cutlip of the University of Connecticut and Professor Mordechai Shacham of Ben-Gurion University of the Negev for the ASEE Chemical Engineering Summer School held in Snowbird, Utah in August, 1997. The problem statements are provided in another document. 3 Professors Cutlip and Shacham provided a document which shows how to solve the problems using POLYMATH, Professor Eric Nuttall of the University of New Mexico provided solutions using Mathematica and Professor J. J. Hwalek provided solutions using Mathcad. After the conference, Professor Ross Taylor provided solutions in Maple, and Edward Rosen provided solutions in EXCEL. This paper gives the solution in MATLAB. All documents and solutions are available from http://www.che.utexas/cache. These solutions are obtained using the version 5.0 of MATLAB Pro. Minor changes are needed to the files when using version 4.0 of MATLAB, mainly in the command giving the limits of integration when solving ordinary differential equations. The appropriate commands (changes from MATLAB 5.0) are given in the files as comments. The program MATLAB runs by executing commands, which can call files called m-files. Given below are the commands and m-files. The m-files are also available on a diskette. For ease in interpreting the text below, text is printed in Times font, whereas the MATLAB files are printed in Geneva font. Each problem is solved by setting the path for MATLAB (most easily done by opening the appropriate m-file, and issuing the command Prob_X. The m-file Prob_X.m may call other m-files, which are described below and are on the diskette. In the description below, any line beginning with a % is a comment.