Boundary Value Problems for Engineers : with MATLAB Solutions / Ali Ümit Keskin.
2019
TA330 .K47 2019
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Details
Title
Boundary Value Problems for Engineers : with MATLAB Solutions / Ali Ümit Keskin.
Author
Keskin, Ali Ümit, author.
ISBN
9783030210809 (electronic book)
3030210804 (electronic book)
9783030210793
3030210790
3030210804 (electronic book)
9783030210793
3030210790
Published
Cham : Springer International Publishing, [2019]
Language
English
Description
1 online resource (XV, 517 pages 514 illustrations, 414 illustrations in color.)
Item Number
10.1007/978-3-030-21080-9 doi
Call Number
TA330 .K47 2019
Dewey Decimal Classification
620.00151
Summary
This book is designed to supplement standard texts and teaching material in the areas of differential equations in engineering such as in Electrical, Mechanical and Biomedical engineering. Emphasis is placed on the Boundary Value Problems that are often met in these fields. This keeps the the spectrum of the book rather focussed .The book has basically emerged from the need in the authors lectures on "Advanced Numerical Methods in Biomedical Engineering" at Yeditepe University and it is aimed to assist the students in solving general and application specific problems in Science and Engineering at upper-undergraduate and graduate level. Majority of the problems given in this book are self-contained and have varying levels of difficulty to encourage the student. Problems that deal with MATLAB simulations are particularly intended to guide the student to understand the nature and demystify theoretical aspects of these problems. Relevant references are included at the end of each chapter. Here one will also find large number of software that supplements this book in the form of MATLAB script (.m files). The name of the files used for the solution of a problem are indicated at the end of each corresponding problem statement. There are also some exercises left to students as homework assignments in the book. An outstanding feature of the book is the large number and variety of the solved problems that are included in it. Some of these problems can be found relatively simple, while others are more challenging and used for research projects. All solutions to the problems and script files included in the book have been tested using recent MATLAB software. The features and the content of this book will be most useful to the students studying in Engineering fields, at different levels of their education (upper undergraduate-graduate)
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Source of Description
Online resource; title from digital title page (viewed on July 17, 2019).
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Boundary value problems for engineers.
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Table of Contents
Computing Zeros of Nonlinear Univariate Functions
Solving System of Nonlinear Algebraic Equations
Boundary Value Problems (BVPs) for Ordinary Differential Equations
Greens Functions
The Shooting Method for the Solution of One-Dimensional BVPs
Finite Difference Methods for the Solution of BVPs
Adomian Decomposition Method
Collocation, Galerkin and Rayleigh-Ritz Methods
Approximating Solutions of BVPs using Cubic B-Splines
Numerical Solution of BVPs Using bvp4c and bvp5c of MATLAB.
Solving System of Nonlinear Algebraic Equations
Boundary Value Problems (BVPs) for Ordinary Differential Equations
Greens Functions
The Shooting Method for the Solution of One-Dimensional BVPs
Finite Difference Methods for the Solution of BVPs
Adomian Decomposition Method
Collocation, Galerkin and Rayleigh-Ritz Methods
Approximating Solutions of BVPs using Cubic B-Splines
Numerical Solution of BVPs Using bvp4c and bvp5c of MATLAB.