On a Numerical Scheme for Solving Nonlinear Boundary Value Problems with Mixed Boundary Conditions.

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Abstract:

In the paper, the author develops a modification of Kellers box scheme for solving boundary value problems to cover cases with mixed boundary conditions. Kellers scheme is a very efficient finite difference algrotihm for solving systems of ordinary differential equations and systems of parabolic partial differential equations. The original method employed a block tridiagonal matrix formulation that was not directly applicable to problems with mixed boundary conditions. The author applied the present generalized method to the solution of two boundary value problems that arise in the theory of laminar viscous interactions. The main program is used as the core in a number of other computer codes to solve a variety of viscous problems. A user-oriented FORTRAN 4 subroutine is also included for the solution of the present matrix system. Author

Author(s):
Chow, Reuben R.
Author Organization(s):
GRUMMAN AEROSPACE CORP BETHPAGE N Y RESEARCH DEPT
Descriptive Note:
Research memo.,
Pagination:
0029

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
RM-582
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
*Numerical integration, *Partial differential equations, *Nonlinear differential equations, *Fluid flow, Numerical methods and procedures, Matrices(Mathematics), Computer programs, FORTRAN
Field(s)/Group(s):
Theoretical Mathematics, Fluid Mechanics
Keyword(s):
FORTRAN 4 programming language, Parabolic differential equations
Report Date:
1973 Nov 01