SOLUTION OF INTEGRAL EQUATIONS BY HYBRID COMPUTATION.

Abstract

Two alternative approaches to the hybrid computer solution of a class of integral equations are presented in this report. The first approach is based on a direct hybrid mechanization of the classical Neumann iterative procedure. The second iterative method, due to Fisher, leads to considerably faster convergence than the classical technique. The methods are compared from the standpoints of accuracy and computer implementation. Illustrative examples include several Fredholm-type integral equations. Extension of the technique to other types of integral equations is discussed in the concluding section of the report. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1967
Accession Number
AD0654633

Entities

People

  • G. A. Bekey
  • J. C. Maloney
  • R. Tomovic

Organizations

  • University of Southern California

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Computations
  • Computers
  • Convergence
  • Equations
  • Hybrid Computers
  • Integral Equations
  • Integrals
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)