Special Function Solutions of the Diffusion Equation

Abstract

In this report certain special functions are introduced and their properties discussed. In particular they are shown to be solutions of the diffusion(heat) equation satisfying special initial conditions. These functions are then used to obtain approximate solutions to initial-boundary value problems for the diffusion equation which are particularly accurate for small times.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1979
Accession Number
ADA075324

Entities

People

  • John F. Polk

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Asymptotic Series
  • Boundary Value Problems
  • Cauchy Problem
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Engineering
  • Equations
  • Fluid Dynamics
  • Handbooks
  • Heat Transfer
  • Integrals
  • Maryland
  • Mathematics
  • Numbers
  • Polynomials
  • Sequences

Fields of Study

  • Mathematics

Readers

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