Computational Partial Differential Equations Using MATLAB

Title: Computational Partial Differential Equations Using MATLAB
Author: Jichun Li, Yi-Tung Chen
ISBN: 1420089048 / 9781420089042
Format: Hard Cover
Pages: 384
Publisher: CHAPMAN & HALL
Year: 2008
Availability: Out of Stock

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This textbook introduces several major numerical methods for solving various partial differential equations (PDEs) in science and engineering, including elliptic, parabolic, and hyperbolic equations. It covers traditional techniques that include the classic finite difference method and the finite element method as well as state-of-the-art numerical methods, such as the high-order compact difference method and the radial basis function meshless method.

Helps Students Better Understand Numerical Methods through Use of MATLAB®

The authors uniquely emphasize both theoretical numerical analysis and practical implementation of the algorithms in MATLAB, making the book useful for students in computational science and engineering. They provide students with simple, clear implementations instead of sophisticated usages of MATLAB functions.

All the Material Needed for a Numerical Analysis Course

Based on the authors’ own courses, the text only requires some knowledge of computer programming, advanced calculus, and difference equations. It includes practical examples, exercises, references, and problems, along with a solutions manual for qualifying instructors. Students can download MATLAB code from www.crcpress.com, enabling them to easily modify or improve the codes to solve their own problems.

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Preface

Chapter 1 :
Brief Overview of Partial Differential Equations
Chapter 2 : Finite Difference Methods for Parabolic Equations
Chapter 3 : Finite Difference Methods for Hyperbolic Equations
Chapter 4 : Finite Difference Methods for Elliptic Equations
Chapter 5 : High-Order Compact Difference Methods
Chapter 6 : Finite Element Methods: Basic Theory
Chapter 7 : Mixed Finite Element Methods
Chapter 8 : Finite Element Methods for Electromagnetics
Chapter 9 : Meshless Methods with Radial Basis Functions
Chapter 10 : Other Meshless Methods

Answers to Selected Problems
Index