Numerical solutions for partial differential equations : problem solving using Mathematica

Bibliographic Information

Numerical solutions for partial differential equations : problem solving using Mathematica

Victor G. Ganzha and Evgenii V. Vorozhtsov

(Symbolic and numeric computation series)

CRC Press, c1996

Available at  / 29 libraries

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System requirements for accompanying computer disk: IBM PC or compatible

Includes bibliographical references and index

Description and Table of Contents

Description

Partial differential equations (PDEs) play an important role in the natural sciences and technology, because they describe the way systems (natural and other) behave. The inherent suitability of PDEs to characterizing the nature, motion, and evolution of systems, has led to their wide-ranging use in numerical models that are developed in order to analyze systems that are not otherwise easily studied. Numerical Solutions for Partial Differential Equations contains all the details necessary for the reader to understand the principles and applications of advanced numerical methods for solving PDEs. In addition, it shows how the modern computer system algebra Mathematica (R) can be used for the analytic investigation of such numerical properties as stability, approximation, and dispersion.

Table of Contents

1. Introduction to Mathematica 2. Finite Difference Methods for Hyperbolic PDEs 3. Finite Difference Methods for Parabolic PDEs 4. Numerical Methods for Elliptic PDEs

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