Sinc Method of Solution of Singular Integral Equations.

Abstract

The use of the Whittaker cardinal (or sinc) function for the approximate solution of the complete, one-dimensional, singular integral equation with arbitrary index is discussed. This document is mainly concerned with the case when the equation is taken over the arc (-1,1). An indirect method of approximate solution, based on the equivalent Fredholm integral equation, is described. Convergence of the approximate solutions is discussed in some detail and it is shown that the error decays exponentially. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1984
Accession Number
ADA146155

Entities

People

  • D. Elliott
  • F. Stenger

Organizations

  • University of Utah

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Classification
  • Contracts
  • Convergence
  • Equations
  • Galerkin Method
  • Integral Equations
  • Integrals
  • Intervals
  • Linear Algebra
  • Linear Systems
  • Mathematics
  • Military Research
  • Polynomials
  • Time Studies
  • Universities

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Calculus or Mathematical Analysis