Finite Difference Approximations and Their Stencil Forms of Poisson's Equation in Cylindrical Coordinates.

reportActive / Technical Report | Accession Number: ADA011816 | Need Help?

Abstract:

A systematic method is presented for finding finite difference approximations and their stencil representation of Poisson type second order partial differential equations in two variables for the purpose of obtaining accurate numerical solutions of these equations. The method uses a Taylor series expansion for the unknown function and its relationship to the known source function. The case of cylindrical coordinates with rectangular meshes is emphasized. Two known and two new stencils are presented. Modifications to stencils adjacent to physical boundaries are considered.

Author(s):
Siambis, John G. ; Lee, Roswell ; Goldstein, Shyke A.
Author Organization(s):
NAVAL RESEARCH LAB WASHINGTON D C
Descriptive Note:
Memorandum rept.,
Pagination:
0018

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
NRL-MR-3054
Task Number(s):
A014
Project Number(s):
NRL-H02-26A, DNA-NWED-QAXL
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
*FINITE DIFFERENCE THEORY, *PARTIAL DIFFERENTIAL EQUATIONS, COMPUTATIONS, TAYLORS SERIES, APPROXIMATION(MATHEMATICS), NUMERICAL INTEGRATION, COMPUTER APPLICATIONS
Field(s)/Group(s):
Numerical Mathematics
Keyword(s):
*Poisson equation
Report Date:
1975 May 01