Accession Number : ADA288759

Title :   On the Removal of Boundary Errors Caused by Runge-Kutta Integration of Non-Linear Partial Differential Equations.

Descriptive Note : Contractor rept.,

Corporate Author : INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA

Personal Author(s) : Abarbanel, Saul ; Gottlieb, David ; Carpenter, Mark H.

PDF Url : ADA288759

Report Date : SEP 1994

Pagination or Media Count : 10

Abstract : It has been previously shown that the temporal integration of hyperbolic partial differential equations may, because of boundary conditions, lead to deterioration of accuracy of the solution. A procedure for removal of this error in the linear case has been established previously. In the present paper we consider hyperbolic p.d.e's (linear and nonlinear) whose boundary treatment is done via the SAT-procedure. A methodology is present for recovery of the full order of accuracy, and has been applied to the case of a 4th order explicit finite difference scheme.

Descriptors :   *NONLINEAR DIFFERENTIAL EQUATIONS, *HYPERBOLIC DIFFERENTIAL EQUATIONS, *RUNGE KUTTA METHOD, PARAMETERS, ACCURACY, PROBLEM SOLVING, BOUNDARIES, FINITE DIFFERENCE THEORY, SOLUTIONS(GENERAL), APPROXIMATION(MATHEMATICS), NUMERICAL INTEGRATION, ERRORS, PARTIAL DIFFERENTIAL EQUATIONS, DETERIORATION.

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE