Inlämning av Examensarbete / Submission of Thesis

Alireza Zavareh , pp. 30. ING/School of Engineering, 2012.

The work

Författare / Author: Alireza Zavareh
Titel / Title: Analytical and Numerical methods for a Mean curvature flow equation with applications to financial Mathematics and image processing
Abstrakt Abstract:

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 [1].

Ämnesord / Subject: Mathematics\Analysis
Mathematics\Discrete Mathematics
Nyckelord / Keywords: Mean curvature flow, Lie group analysis, Parabolic equation, Deterministic game theoretic

Publication info

Dokument id / Document id: houn-8ygkas
Program:/ Programme Mathematical Modelling and Simulation
Registreringsdatum / Date of registration: 09/25/2012
Uppsatstyp / Type of thesis: Masterarbete/Master's Thesis (120 credits)


Handledare / Supervisor: Professor Nail H. Ibragimov, BTH; Assis. Professor Arash Fahim, UofM,
Examinator / Examiner: Assoc. Professor Claes Jogréus
Organisation / Organisation: Blekinge Institute of Technology
Institution / School: ING/School of Engineering

+46 455 38 50 00
I samarbete med / In co-operation with: School of Mathematics, University of Michigan, USA
Anmärkningar / Comments:


Files & Access

Bifogad uppsats fil(er) / Files attached: bth2012alireza.pdf (18367 kB, öppnas i nytt fönster)