Numerical solutions of boundary value problems with finite difference method /
| Main Authors: | , , |
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| Format: | eBook |
| Language: | English |
| Published: |
San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) :
Morgan and Claypool Publishers,
[2018]
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| Series: | IOP (Series). Release 5.
IOP concise physics. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Abstract: | The book contains an extensive illustration of use of finite difference method in solving the boundary value problem numerically. A wide class of differential equations has been numerically solved in this book. Starting with differential equations of elementary functions like hyperbolic, sine and cosine, we have solved those of special functions like Hermite, Laguerre and Legendre. Those of Airy function, of stationary localised wavepacket, of the quantum mechanical problem of a particle in a 1D box, and the polar equation of motion under gravitational interaction have also been solved. Mathematica 6.0 has been used to solve the system of linear equations that we encountered and to plot the numerical data. Comparison with known analytic solutions showed nearly perfect agreement in every case. On reading this book, readers will become adept in using the method. |
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| Item Description: | "Version: 20180901"--Title page verso. "A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso. |
| Physical Description: | 1 online resource (various pagings) : illustrations. Also available in printing. |
| Format: | Mode of access: World Wide Web. System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader. |
| Audience: | Undergraduate students of mathematics, physics and engineering wishing to get adept in numerical solutions of boundary value problems with finite difference method will be delighted to get this book or e-book. |
| Bibliography: | Includes bibliographical references. |
| ISBN: | 9781643272801 9781643272788 |
| ISSN: | 2053-2571 |