Abstract
A new nonstandard Eulerian{Lagrangian method is constructed for the one-dimensional, transient convective-dispersive transport equation with nonlinear reaction terms. An exact difference scheme is applied to the convection-reaction part of the equation to produce a semi-discrete approximation with zero local truncation errors with respect to time. The spatial derivatives involved in the remaining dispersion term are then approximated using standard numerical methods. This approach leads to significant, qualitative improvements in the behavior of the numerical solution. It suppresses the numerical instabilities that arise from the incorrect modeling of derivatives and nonlinear reaction terms. Numerical experiments demonstrate the scheme’s ability to model convection-dominated, reactive transport problems. c 1999 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 15: 617{624, 1999
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Numerical Methods for Partial Differential Equations
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
