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Nonlinear integro-differential Equations: Numerical Solutions by using Spectral Methods
Norwegian University of Science and Technology, Faculty of Information Technology, Mathematics and Electrical Engineering, Department of Mathematical Sciences.
2013 (English)MasteroppgaveStudent thesis
Abstract [en]

This article deals with numerical solutions of nonlinear integro-differential convection-diffusion equations using spectral methods. More specifically, the spectral vanishing viscosity method is introduced and analyzed to show that its family of numerical solutions is compact, and that its solutions converge to the vanishing viscosity solutions. The method is implemented in code, and numerical results including qualitative plots and convergence estimates are given. The article concludes with a discussion of some important implementation concerns and recommendations for further work related to the topic.

Place, publisher, year, edition, pages
Institutt for matematiske fag , 2013. , 101 p.
URN: urn:nbn:no:ntnu:diva-22682Local ID: ntnudaim:9149OAI: diva2:651441
Available from: 2013-09-25 Created: 2013-09-25 Last updated: 2013-09-25Bibliographically approved

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