MATLAB Programming Applications: MATLAB Solutions for 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 and physical 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 of various types of problems for the Laplace equation, heat conduction equation, and wave equation. The content is novel, the methods are unique, and the book brings dry formulas to life with vivid images, making complex concepts more tangible. It is an extremely valuable reference book for learning mathematical and physical 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 studying numerical computation or computational physics, it 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 useful but also distinctive. The book provides programs for all examples, which can be directly used as multimedia courseware. This book is suitable for college students, graduate students, and scientific workers. The course of this textbook won the Second Prize of the National Higher Education Teaching Achievement Award in 2004 and the First Prize of the Beijing Higher Education Teaching Achievement Award.