An Adaptive Numerical Method for Solving Linear Fredholm Integral Equations of the First Kind.

Abstract

A general procedure is presented for numerically solving linear Fredholm integral equations of the first kind. The approximate solution is expressed as a continuous piecewise linear (spline) function. The method involves collocation followed by the solution of an appropriately scaled stabilized linear algebraic system. The procedure may be used iteratively to improve the accuracy of the approximate solution. Several numerical examples are given. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1974
Accession Number
AD0787840

Entities

People

  • James L. Phillips
  • Richard J. Hanson

Organizations

  • Washington State University

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Equations
  • Integral Equations
  • Integrals

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)