Introduction To Numerical Ordinary And Partial Differential Equations Using MATLAB

by Alexander Stanoyevitch

Learn how to solve complex differential equations using MATLAB® Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB® teaches readers how to numerically solve both ordinary and partial differential equations with ease. This innovative publication brings together a skillful treatment of MATLAB and programming alongside theory and modeling. By presenting these topics in tandem, the author enables and encourages readers to perform their own computer experiments, leading them to a more profound understanding of differential equations. The text consists of three parts: All the tools needed to master using MATLAB to solve differential equations are provided and include: This textbook can be tailored for courses in numerical differential equations and numerical analysis as well as traditional courses in ordinary and/or partial differential equations. All the material has been classroom-tested over the course of many years, with the result that any self-learner with an understanding of basic single-variable calculus can master this topic. Systematic use is made of MATLAB's superb graphical capabilities to display and analyze results. An extensive chapter on the finite element method covers enough practical aspects (including mesh generation) to enable the reader to numerically solve general elliptic boundary value problems. With its thorough coverage of analytic concepts, geometric concepts, programs and algorithms, and applications, this is an unsurpassed pedagogical tool.

813 pages, Hardcover

First published December 31, 2004

Reviews

[William Schram · Rating 4 out of 5]

"Introduction to Ordinary and Partial Differential Equations Using MATLAB" is a great resource. The book is in three sections; MATLAB, ODEs, and PDEs. The book focuses on using MATLAB as a tool to aid in understanding. There is much to like about this book. Alexander Stanoyevitch does a fine job of explaining his terms and processes.

The book is far from perfect, and that is due to its age. The publishing date is 2005, and with a program that is still current, that is a considerable detriment. On the other hand, the book contains theory along with the coverage of MATLAB. I have no preconceived notions of MATLAB because I have never used it before. It has several valuable insights when it comes to programming.

Finally, the book contains an extensive bibliography. The author refers to other books when he does not include proofs.