THE METHOD OF LINES FOR NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS

reportActive / Technical Report | Accession Number: AD0636826 | Open PDF

Abstract:

In the method of lines for solving certain kinds of boundary value problems in rectangular or trapezoidal regions one of the variables, say y, is discretized while the other variable x is left continuous. When suitable finite difference approximations are substituted for the partial derivatives with respect to y the differential equation is changed into a simultaneous system of ordinary differential equations in the variable x. The method used very little in the USA is used extensively in the Soviet Union and nearly all the literature on this subject is in Russian. The method has been tried in BRL and it seems to be a very useful one. This report does not pretend to be a monograph on the subject. It intends to be a practical guide to computations.

Author(s):
Leser, Tadeusz ; Harrison, John T.
Author Organization(s):
ARMY BALLISTIC RESEARCH LAB ABERDEEN PROVING GROUND MD
Supplementary Note:
DOI: 10.21236/AD0636826
Pagination:
0031

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):
BRL-1311
Project Number(s):
RDT/E-1P014501A14B
Monitor Series:
AMC/DC
 Subject Terms
Joint Capability Areas:
JCA_3.2_Engagement; JCA_3_Force Application; JCA_3.2.1_Kinetic Means; JCA_5_Command and Control
Modernization Areas:
Quantum Science and Computing
Communities of Interest:
Energy and Power Technologies
Descriptor(s):
*PARTIAL DIFFERENTIAL EQUATIONS, *NUMERICAL METHODS AND PROCEDURES, BOUNDARY VALUE PROBLEMS
Field(s)/Group(s):
Numerical Mathematics
Report Date:
1966 Mar 01