Browsing Theses (Master's and Ph.D) – Mathematics by Subject "Stability analysis"

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Hexagonal Grid Approximation of the Solution of Two Dimensional Heat Equation

Arshad, Nouman (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2020)

We consider the first type boundary value problem of heat equation ¶u ¶t = w ¶2u ¶x2 1 + ¶2u ¶x2 2 + f (x1;x2; t) in two space dimensions on special polygons with interior angles ajp, j = 1;2; :::;M, where ...
Highly Accurate Implicit Schemes Using Hexagonal Grids for the Approximation of the Derivatives of the Solution of Two Dimensional Heat Equation

Matan, Ahmed Hersi Mohamed (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2022-02)

In this thesis, the first type (Dirichlet) boundary value problem for the heat equation on a rectangle is considered. The research has two main successes. Firstly, we give a two-stage implicit method of second order ...