Chapter 8. Partial Differential Equations

  1. Prof. Dr. Charlie Harper

Published Online: 28 JAN 2005

DOI: 10.1002/3527603077.ch8

Analytic Methods in Physics

Analytic Methods in Physics

How to Cite

Harper, C. (1999) Partial Differential Equations, in Analytic Methods in Physics, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, FRG. doi: 10.1002/3527603077.ch8

Author Information

  1. California State University, Hayward, USA

Publication History

  1. Published Online: 28 JAN 2005
  2. Published Print: 12 OCT 1999

ISBN Information

Print ISBN: 9783527402168

Online ISBN: 9783527603077

SEARCH

Keywords:

  • partial differential equations;
  • separation of variables;
  • Schrödinger wave equation;
  • Green's functions in potential theory;
  • numerical methods

Summary

This chapter contains sections titled:

  • Introduction

  • The Method of Separation of Variables

    • The One-Dimensional Heat Conduction Equation

    • The One-Dimensional Mechanical Wave Equation

    • The Time-Independent Schrödinger Wave Equation

  • Green's Functions in Potential Theory

  • Some Numerical Methods

    • Fundamental Relations in Finite Differences

    • The Two-Dimensional Laplace Equation: Elliptic Equation

    • The One-Dimensional Heat Conduction Equation: Parabolic Equation

    • The One-Dimensional Wave Equation: Hyperbolic Equation

  • Problems