Accession Number:

AD0416483

Title:

A NUMERICAL SOLUTION OF A SYSTEM OF LINEAR INTEGRO-PARTIAL DIFFERENTIAL EQUATIONS,

Descriptive Note:

Corporate Author:

GENERAL DYNAMICS SAN DIEGO CALIF GENERAL ATOMIC DIV

Personal Author(s):

Report Date:

1961-04-17

Pagination or Media Count:

67.0

Abstract:

The numerical solution to a system of linear integro-partial differential equations is treated. A numerical solution to the system was obtained by using difference approximations to the partial differential equations. To assure convergence, a stability condition derived from the related plate equation was assumed. Definitions and theorems relevant to the choice of the stability condition for the system are presented in an examination of the heat equation. The numerical work was carried out by a series of programs on the IBM-704 computer. Results were obtained for the cases of constant and variable coefficients, and a comparison was made between results for the plate equation uncoupled system and for the entire system. It was found that the stability condition heuristically assumed is satisfactory. The results obtained appear to represent a real solution to the system. Author

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE