This book provides a good introduction to modern computational methods for Partial Differential Equations in Mechanics. Finite-difference methods for parabolic, hyperbolic as well as elliptic partial differential equations are discussed.

A gradual and inductive approach to the numerical concepts has been used, such that the presentation of the theory is easily accessible to upper-level undergraduate and graduate students. Special attention has been given to the applications, with many examples and exercises provided along with solutions. For each type of equation, physical models are carefully derived and presented in full details.

Windows programs developed in C++ language have been included in the accompanying CD- ROM. These programs can be easily modified to solve different problems, and the reader is encouraged to take full advantage of the innovative features of this powerful development tool.

Contents:

• Finite Differences
• Fourier Model of Heat Conduction
• An Explicit Method for the Heat Equation
• A Windows Program
• The Heat2 Project
• Parabolic Equations
• The Heat3 Project
• Wave Motions
• Finite-Difference Methods for the Wave Equation
• Hyperbolic Equations
• Elliptic Equations
• Classification of PDEs
• Elements of Linear Algebra

“This book includes many programs written using C++ so that the reader can numerically solve all the examples proposed in the text. It is well written and represents a very useful tool for graduate students in Mathematics, Physics and Engineering.”