A NUMERICAL SOLUTION OF A SYSTEM OF LINEAR INTEGRO-PARTIAL DIFFERENTIAL EQUATIONS,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 17, 1961
- Accession Number
- AD0416483
Entities
People
- Virginia Palm Nather
Organizations
- General Dynamics