dc.contributor.advisor Jakobsen, Espen Robstad dc.contributor.author Bærland, Trygve dc.date.accessioned 2015-10-06T10:57:16Z dc.date.available 2015-10-06T10:57:16Z dc.date.created 2015-06-15 dc.date.issued 2015 dc.identifier ntnudaim:13951 dc.identifier.uri http://hdl.handle.net/11250/2352698 dc.description.abstract This master's thesis considers the fractional general porous medium equation; a nonlocal equation with nonlinear diffusivity. Properties of the nonlocal operator are derived. Existence of distributional solutions are proved, together with $L^1$-contraction and distance to the family of vanishing viscosity solutions. Then a Fourier Galerkin method with spectral vanishing viscosity (SVV) is proposed and shown to be convergent under suitable conditions to the distributional solution. Lastly, numerical experiments for some important special cases of the problem are provided, together with convergence plots. This gives some information about when it is suitable to use SVV. dc.language eng dc.publisher NTNU dc.subject Fysikk og matematikk, Industriell matematikk dc.title A spectral method for fractional porous medium equations dc.type Master thesis dc.source.pagenumber 96
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