The Numerical Solution of Linear Fredholm Integral Equations of the Second Kind by Generalized Quadrature.

Abstract

The report develops an elementary error analysis for a modified generalized quadrature method for computing approximate solutions of linear Fredholm integral equations of the second kind. It is shown that the method replaces the kernel by a degenerate kernel. The solvability of the approximate equation, error bounds, and the order of convergence of the approximate solution are discussed. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1971
Accession Number
AD0728443

Entities

People

  • B. Noble
  • L. Tavernini

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Convergence
  • Equations
  • Error Analysis
  • Errors
  • Integral Equations
  • Integrals
  • Mathematical Analysis

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Mathematical Modeling and Probability Theory.