MATLAB Solutions and Visualization of Mathematical Physics Equations

Author: Peng Fanglin
Publisher:
Publish Date: 2004-11-01
Features: This book introduces how to use scientific computing software MATLAB to numerically solve mathematical physics equations and visualize the results. It showcases complex function graphics, special function graphics, and various eigenfunction graphics rarely seen in textbooks. Additionally, it presents numerical solutions and visualizations for various types of problems involving the Laplace equation, heat conduction equation, and wave equation. The content is novel, the methods are unique, and it brings dry formulas to life with vivid images, making profound concepts more tangible. It is an extremely valuable reference book for learning mathematical physics methods. The book also provides a detailed introduction to MATLAB's Partial Differential Equation Toolbox and other commands for solving partial differential equations and eigenvalue equations, as well as finite difference methods and finite element methods. For students taking numerical computation or computational physics courses, this book is also a very practical reference textbook. The programs in this book come from teaching practice, with many practical insights reflected in the programming techniques, such as the calculation of special functions and the drawing of vector field lines. These techniques are not only practical but also distinctive. The book provides programs for all examples, which can be directly used as multimedia courseware. This book is suitable for use by university students, graduate students, and science and technology workers.