Computational Partial Differential Equations Using MATLAB

Features

• Provides a wide selection of standard finite difference and finite elements
• Covers novel techniques, such as high-order compact finite difference and meshless methods
• Incorporates applications from the fields of mechanical and electrical engineering as well as the physical sciences
• Presents both theoretical numerical analysis and practical implementations in MATLAB
• Contains many computer projects and problems
• Offers MATLAB source code and color figures for download online

Solutions manual available for qualifying instructors

Summary

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.