Time-splitting procedures for the numerical solution of the 2D advection-diffusion equation

dc.contributor.authorAppadu, A. Rao
dc.contributor.authorGidey, H.H.
dc.contributor.emailrao.appadu@up.ac.zaen_US
dc.date.accessioned2014-06-09T12:07:26Z
dc.date.available2014-06-09T12:07:26Z
dc.date.issued2013
dc.description.abstractWe 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.librarianam2014en_US
dc.description.sponsorshipThe 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.urihttp://www.hindawi.com/journals/mpe/en_US
dc.identifier.citationAppadu, 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.arten_US
dc.identifier.issn1024-123X (print)
dc.identifier.issn1563-5147 (online)
dc.identifier.other10.1155/2013/634657
dc.identifier.urihttp://hdl.handle.net/2263/40086
dc.language.isoenen_US
dc.publisherHindawi Publishing Corporationen_US
dc.rights© 2013 A. R. Appadu and H. H. Gidey. This is an open access article distributed under the Creative Commons Attribution Licenseen_US
dc.subjectNumerical solutionen_US
dc.subject2D Advection-diffusion equationen_US
dc.subjectTime-splitting proceduresen_US
dc.titleTime-splitting procedures for the numerical solution of the 2D advection-diffusion equationen_US
dc.typeArticleen_US

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