Analytical and Numerical methods for a Mean curvature flow equation with applications to financial Mathematics and image processing
Independent thesis Advanced level (degree of Master (Two Years))Student thesis
This thesis provides an analytical and two numerical methods for solving a parabolic equation of two-dimensional mean curvature flow with some applications. In analytical method, this equation is solved by Lie group analysis method, and in numerical method, two algorithms are implemented in MATLAB for solving this equation. A geometric algorithm and a step-wise algorithm; both are based on a deterministic game theoretic representation for parabolic partial differential equations, originally proposed in the genial work of Kohn-Serfaty .
Place, publisher, year, edition, pages
2012. , 30 p.
Mean curvature flow, Lie group analysis, Parabolic equation, Deterministic game theoretic
Mathematical Analysis Discrete Mathematics Mathematics
IdentifiersURN: urn:nbn:se:bth-2132Local ID: oai:bth.se:arkivex4E0D4D0E1A9291A1C1257A840050F834OAI: oai:DiVA.org:bth-2132DiVA: diva2:829398
UppsokPhysics, Chemistry, Mathematics
Ibragimov, Professor Nail H.Fahim, BTH; Assis. Professor Arash, UofM