Browsing 08 Faculty of Arts and Sciences by Subject "Finite difference method"

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Grid Approximation of Derivatives of the Solution of Heat Conduction Equation

Farinola, Lawrence Adedayo (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2019-06)

In this study we propose special difference problems of the four point scheme and six point symmetric implicit scheme (Crank and Nicolson) for the approximation of first and second partial derivatives of the solution ( ...
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 ...