Time-splitting procedures for the numerical solution of the 2D advection-diffusion equation
dc.contributor.author | Appadu, A. Rao | |
dc.contributor.author | Gidey, H.H. | |
dc.contributor.email | rao.appadu@up.ac.za | en_US |
dc.date.accessioned | 2014-06-09T12:07:26Z | |
dc.date.available | 2014-06-09T12:07:26Z | |
dc.date.issued | 2013 | |
dc.description.abstract | We perform a spectral analysis of the dispersive and dissipative properties of two time-splitting procedures, namely, locally onedimensional (LOD) Lax-Wendroff and LOD (1, 5) [9] for the numerical solution of the 2D advection-diffusion equation. We solve a 2D numerical experiment described by an advection-diffusion partial differential equation with specified initial and boundary conditions for which the exact solution is known. Some errors are computed, namely, the error rate with respect to the L1 norm, dispersion and dissipation errors. Lastly, an optimization technique is implemented to find the optimal value of temporal step size that minimizes the dispersion error for both schemes when the spatial step is chosen as 0.025, and this is validated by numerical experiments. | en_US |
dc.description.librarian | am2014 | en_US |
dc.description.sponsorship | The work of Dr A. R. Appadu was funded through the Research Development Programme of the University of Pretoria and the period of funding is from January 2013 to January 2014. | en_US |
dc.description.uri | http://www.hindawi.com/journals/mpe/ | en_US |
dc.identifier.citation | Appadu, AR & Gidey, HH 2013, 'Time-splitting procedures for the numerical solution of the 2D advection-diffusion equation', Mathematical Problems in Engineering, vol. 2013, art. 634657, pp. 1-21.art | en_US |
dc.identifier.issn | 1024-123X (print) | |
dc.identifier.issn | 1563-5147 (online) | |
dc.identifier.other | 10.1155/2013/634657 | |
dc.identifier.uri | http://hdl.handle.net/2263/40086 | |
dc.language.iso | en | en_US |
dc.publisher | Hindawi Publishing Corporation | en_US |
dc.rights | © 2013 A. R. Appadu and H. H. Gidey. This is an open access article distributed under the Creative Commons Attribution License | en_US |
dc.subject | Numerical solution | en_US |
dc.subject | 2D Advection-diffusion equation | en_US |
dc.subject | Time-splitting procedures | en_US |
dc.title | Time-splitting procedures for the numerical solution of the 2D advection-diffusion equation | en_US |
dc.type | Article | en_US |