ON A CONTINUOUS METHOD OF APPROXIMATING SOLUTIONS OF THE HEAT EQUATION.

Abstract

Theoretical methods, based on a priori pointwise bounds, for approximating solutions of many elliptic and parabolic initial and/or boundary value problems have been developed in recent years. These methods, however, are relatively unknown to potential users since applications of the methods have not appeared in the literature. In this article their usefulness is illustrated by employing some of the author's theoretical results as a basis for the construction of a digital program to compute an approximate solution of an initial-boundary value problem for the heat equation. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1966
Accession Number
AD0648310

Entities

People

  • V. G. Sigillito

Organizations

  • Johns Hopkins University Applied Physics Laboratory

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Construction
  • Differential Equations
  • Equations
  • Literature
  • Mathematical Analysis
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Systems Analysis and Design