Spline Approximation to the Solution of the Linear Fredholm Integral Equation of the Second Kind.

Abstract

A global approximation to the solution of a general linear Fredholm integral equation of the second kind is constructed by means of the cubic spline quadrature. Under appropriate smoothness restrictions on the kernel and the forcing function, convergence of the approximation and of several of its derivatives is established and error bounds are obtained.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1975
Accession Number
ADA006539

Entities

People

  • Arun N. Netravali
  • Rui J. P. De Figueriredo

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Convergence
  • Equations
  • Integral Equations
  • Integrals

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Graph Algorithms and Convex Optimization.