A comparison of some numerical methods for the advection-diffusion equation

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dc.contributor.authorThongmoon, M.
dc.contributor.authorMcKibbin, R.
dc.date.accessioned2013-05-20T04:11:11Z
dc.date.available2013-05-20T04:11:11Z
dc.date.issued2006
dc.description.abstractThis paper describes a comparison of some numerical methods for solving the advection-diffusion (AD) equation which may be used to describe transport of a pollutant. The one-dimensional advection-diffusion equation is solved by using cubic splines (the natural cubic spline and a ”special” AD cubic spline) to estimate first and second derivatives, and also by solving the same problem using two standard finite difference schemes (the FTCS and Crank-Nicolson methods). Two examples are used for comparison; the numerical results are compared with analytical solutions. It is found that, for the examples studied, the finite difference methods give better point-wise solutions than the spline methods.en
dc.identifier.citationThongmoon, M., McKibbin, R. (2006), A comparison of some numerical methods for the advection-diffusion equation, Research Letters in the Information and Mathematical Sciences, 10, 49-62en
dc.identifier.issn1175-2777
dc.identifier.urihttp://hdl.handle.net/10179/4485
dc.language.isoenen
dc.publisherMassey Universityen
dc.subjectAdvection-Diffusion equationen
dc.titleA comparison of some numerical methods for the advection-diffusion equationen
dc.typeArticleen
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