The Solution of Mixed Boundary Value Problems Involving a Straight Line Segment.

Abstract

Boundary value problems of mixed type are considered for the line segment (needle) in which the model equation can be either electrostatics or heat conduction. Integral transformations are used which map mixed boundary conditions into Dirichlet conditions and the transformed problem can be solved by Green's function methods. Some applications are given to illustrate the method for heat conduction, Stokes flow and solutions of mixed boundary value problems for the Helmholtz equation involving a finite strip. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1973
Accession Number
AD0767134

Entities

People

  • K. B. Ranger

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Electrostatics
  • Equations
  • Helmholtz Equations
  • Integrals
  • Mathematical Analysis
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Geodesy
  • Plasma Physics.