Diffusion Equation Solution Sequences.

Abstract

A methodology is described for deriving expansions for the solutions of parabolic differential equations which are asymptotically valid for small times. Both the Cauchy problem and the first initial-boundary value problem are studied and particular attention is given to cases in which the data is discontinuous or incompatible with the equation. The basic procedure is called DESS (Diffusion Equation Solution Sequence) method and all expansions are obtained in explicit form using certain special functions which are briefly discussed. Error estimates are rigorously stated but their proofs are not included in the present work.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1981
Accession Number
ADA096194

Entities

People

  • John F. Polk

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies
  • Materials and Manufacturing Processes
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Asymptotic Series
  • Boundary Layer
  • Boundary Value Problems
  • Cauchy Problem
  • Coefficients
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Engineering
  • Equations
  • Fluid Dynamics
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations
  • Sequences
  • Theorems
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)