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

摘要

In the paper,the author develops a modification of Keller's box scheme for solving boundary value problems to cover cases with mixed boundary conditions. Keller's 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 4subroutine is also included for the solution of the present matrix system. (Author)