Special Function Solutions of the Diffusion Equation

reportActive / Technical Report | Accession Number: ADA075324 | Open PDF

Abstract:

In this report certain special functions are introduced and their properties discussed. In particular they are shown to be solutions of the diffusionheat 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.

Author(s):
Polk, John F.
Author Organization(s):
ARMY BALLISTIC RESEARCH LAB ABERDEEN PROVING GROUND MD
Descriptive Note:
Final rept.
Pagination:
0035

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release
Distribution Statement:
Approved For Public Release; Distribution Is Unlimited.

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
ARBRL-TR-02182, SBI-ADE430307
Project Number(s):
1L161102AH43
Monitor Series:
ADE430307, ARRADCOM
 Subject Terms
Joint Capability Areas:
JCA_5_Command and Control; JCA_1_Force Support; JCA_1.2_Force Preparation; JCA_3.2_Engagement; JCA_3_Force Application; JCA_1.2.3_Educating; JCA_3.2.1_Kinetic Means; JCA_5.2_Understand; JCA_6_Net Centric; JCA_5.3_Planning
Modernization Areas:
Space
Communities of Interest:
Space
Descriptor(s):
*BOUNDARY VALUE PROBLEMS, *DIFFUSION, *HEAT TRANSFER, ALGORITHMS, APPLIED MATHEMATICS, APPROXIMATION(MATHEMATICS), BOUNDARIES, DIFFERENTIAL EQUATIONS, HEAT, INTEGRALS, POLYNOMIALS, SOLIDS, SPECIAL FUNCTIONS(MATHEMATICS)
Field(s)/Group(s):
Theoretical Mathematics, Thermodynamics
Keyword(s):
DIFFUSION EQUATION, ASYMPTOTIC ANALYSIS, ASH43, PE61102A
Report Date:
1979 Jul 01