Change search
ReferencesLink to record
Permanent link

Direct link
On the one dimensional Stefan problem: with some numerical analysis
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2013 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

In this thesis we present the Stefan problem with two boundary conditions, one constant and one time-dependent. This problem is a classic example of a free boundary problem in partial differential equations, with a free boundary moving in time. Some properties are being proved for the one-dimensional case and the important Stefan condition is also derived. The importance of the maximum principle, and the existence of a unique solution are being discussed. To numerically solve this problem, an analysis when the time t goes to zero is being done. The approximative solutions are shown graphically with proper error estimates.

Place, publisher, year, edition, pages
2013. , 54 p.
Keyword [en]
Stefan problem, heat equation, crank-nicolson, finite differences
National Category
URN: urn:nbn:se:umu:diva-80215OAI: diva2:647481
Available from: 2013-10-23 Created: 2013-09-11 Last updated: 2013-10-23Bibliographically approved

Open Access in DiVA

On the one dimensional Stefan problem(939 kB)4602 downloads
File information
File name FULLTEXT01.pdfFile size 939 kBChecksum SHA-512
Type fulltextMimetype application/pdf

Search in DiVA

By author/editor
Jonsson, Tobias
By organisation
Department of Mathematics and Mathematical Statistics

Search outside of DiVA

GoogleGoogle Scholar
Total: 4602 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 225 hits
ReferencesLink to record
Permanent link

Direct link