Integral Transforms and Mixed Boundary Value Problems for the Helmholtz Equation.

Abstract

Integral transforms are developed which map Dirichlet boundary value problems for the two dimensional Helmholtz equation in the upper half plane into mixed boundary is a finite or semi-infinite needle. A second integral transformation is introduced which maps a two dimensional mixed boundary value problem into a mixed axially symmetric boundary value problem and vice versa. It is then possible to find integral representations for solutions of the two dimensional Helmholtz equation in which the boundary is a finite or semi-infinite strip. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1972
Accession Number
AD0753144

Entities

People

  • K. B. Ranger

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Equations
  • Helmholtz Equations
  • Integral Transforms
  • Integrals
  • Mathematical Analysis
  • Mathematics
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Electrical Engineering