Second-order non-iterative ADI solution of non-linear partial differential equationsA new method for the solution of non-linear partial differential equations by an ADI procedure is described. Although the method is second order accurate in time, it does not require either iterations or predictor corrector methods to overcome the nonlinearity of the equations. Thus the computational effort required for the solution of the non-linear problem becomes similar to that required for the linear case. The method is applied to a two-dimensional 'extended Burgers equation'. Linear stability is studied, and some numerical solutions obtained. The improved accuracy obtained by the 2nd order truncation error is clearly manifested.
Document ID
19760036311
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Wolfshtein, M. (NASA Langley Research Center Hampton, VA, United States)
Hirsh, R. S. (NASA Langley Research Center Hampton, VA, United States)
Pitts, B. H. (NASA Langley Research Center Hampton, Va., United States)
Date Acquired
August 8, 2013
Publication Date
January 1, 1975
Subject Category
Numerical Analysis
Meeting Information
Meeting: Advances in computer methods for partial differential equations