An Automatic Method for the Numerical Solution of Integro-Differential-Difference Equations.

Abstract

An integro-differential-difference equation may be represented by a power series-given an initial value. Additional coefficients of the power series can be obtained through numeric continuation and a power series representation of the solution can be obtained for any finite range about the center of expansion by the use of recurrence relations developed through this study. The use of power series as the solution method enables the memory or history of the equation to be retained. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1977
Accession Number
ADA040801

Entities

People

  • Arthur E. Goldberger Jr

Organizations

  • Texas A&M University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Automatic
  • Coefficients
  • Color Centers
  • Computational Science
  • Crystal Structure
  • Difference Equations
  • Differential Equations
  • Equations
  • Integrals
  • New York
  • Power Series
  • Regression Analysis
  • Synthetic Environment Simulations
  • Universities

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Computer Science/Computer Engineering/Data Science/Digital Signal Processing.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)