Elementary Applied Partial Differential Equations

Elementary Applied Partial Differential Equations

by Richard Haberman

Overview

Emphasizing the physical interpretation of mathematical solutions, this book introduces applied mathematics while presenting partial differential equations.Topics addressed include heat equation, method of separation of variables, Fourier series, Sturm-Liouville eigenvalue problems, finite difference numerical methods for partial differential equations, nonhomogeneous problems, Green's functions for time-independent problems, infinite domain problems, Green's functions for wave and heat equations, the method of characteristics for linear and quasi-linearwave equations and a brief introduction to Laplace transform solution ofpartial differential equations.For scientists and engineers.

Product Details

ISBN-13: 9780132528337
Publisher: Prentice Hall Professional Technical Reference
Publication date: 02/28/1983
Pages: 560

Table of Contents

1. Heat Equation.
2. Method of Separation of Variables.
3. Fourier Series.
4. Vibrating Strings and Membranes.
5. Sturm-Liouville Eigenvalue Problems.
6. Finite Difference Numerical Methods for Partial DifferentialEquations.
7. Partial Differential Equations with at Least ThreeIndependent Variables.
8. Nonhomogeneous Problems.
9. Green's Functions for Time-Independent Problems.
10. Infinite Domain Problems—Fourier Transform Solutionsof Partial Differential Equations.
11. Green's Functions for Wave and Heat Equations.
12. The Method of Characteristics for Linear and Quasi-LinearWave Equations.
13. A Brief Introduction to Laplace Transform Solution ofPartial Differential Equations.
14. Topics: Dispersive Waves, Stability, Nonlinearity, andPerturbation Methods.
Bibliography.
Selected Answers to Starred Exercises.
Index.

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