Applied Partial Differential Equations with Fourier Series and Boundary Value Problems, 5th edition

Published by Pearson (August 14, 2018) © 2019

  • Richard Haberman Southern Methodist University
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Title overview

Applied Partial Differential Equations with Fourier Series and Boundary Value Problems emphasises the physical interpretation of mathematical solutions and introduces applied mathematics while presenting differential equations. Coverage includes Fourier series, orthogonal functions, boundary value problems, Green's functions, and transform methods.

This text is ideal for students in science, engineering, and applied mathematics.

Table of contents

  • 1. Heat Equation
  • 2. Method of Separation of Variables
  • 3. Fourier Series
  • 4. Wave Equation: Vibrating Strings and Membranes
  • 5. Sturm-Liouville Eigenvalue Problems
  • 6. Finite Difference Numerical Methods for Partial Differential Equations
  • 7. Higher Dimensional Partial Differential Equations
  • 8. Nonhomogeneous Problems
  • 9. Green’s Functions for Time-Independent Problems
  • 10. Infinite Domain Problems: Fourier Transform Solutions of Partial Differential Equations
  • 11. Green’s Functions for Wave and Heat Equations
  • 12. The Method of Characteristics for Linear and Quasilinear Wave Equations
  • 13. Laplace Transform Solution of Partial Differential Equations
  • 14. Dispersive Waves: Slow Variations, Stability, Nonlinearity, and Perturbation Methods
  • Bibliography
  • Answers to Starred Exercises
  • Index

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