1999•Unpublished venueRequires access

Partial Differential Equations

Charlie Harper

Abstract

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

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Available abstract

Key concepts: Laplace's equation, Heat equation, Partial differential equation, Hyperbolic partial differential equation, First-order partial differential equation, Elliptic partial differential equation, Integro-differential equation, Green's function for the three-variable Laplace equation