Browsing Theses (Master's and Ph.D) – Mathematics by Author "Buranay, Suzan Cival"

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Accelerated Overrelaxation Method for the Solution of Discrete Laplace’s equation on a Rectangle

Hajan, Bewar Sulaiman A. (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2016)

On a rectangle given the Dirichlet Laplace’s equation, for its solution by finite differences there exist numerous direct methods and iterative methods. Examples of direct methods are block decomposition, block elimination, ...
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 ...
On A Comparative Study of Direct Solution Methods of the Discrete Poisson’s Equation on A Rectangle

Adekanmbi, Damilola Victoria (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2016-06)

The solution of systems of algebraic equations arising from the 5-point discretization of Poisson’s equation on a rectangle with Dirichlet boundary conditions is analyzed by direct solution methods. Special emphasis is ...