Approximation of Infinite Delay and Volterra Type Equations.

Abstract

Linear autonomous functional differential equations of neutral type include Volterra integral and integrodifferential equations as special cases. The paper considers numerical approximation of solutions to these equations by first converting the initial value problem to an abstract Cauchy problem in a product space (R superscript n x weighted L-squared-space) and then using abstract approximation results for C sub 0 semigroups combined with Galerkin type ideas. In order to obtain concrete schemes subspaces of Legendre and Laguerre polynomials are used. The convergence properties of the algorithms are demonstrated by several examples.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1986
Accession Number
ADA177116

Entities

People

  • F. Kappel
  • Kazufumi Ito

Organizations

  • Brown University

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Algorithms
  • Applied Mathematics
  • Cauchy Problem
  • Computations
  • Convergence
  • Differential Equations
  • Equations
  • Formulas (Mathematics)
  • Integral Equations
  • Integrals
  • Mathematics
  • Polynomials
  • Two Dimensional
  • Universities
  • Weighting Functions

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis

Technology Areas

  • Space