Browsing Theses (Master's and Ph.D) – Mathematics by Author "Dosiyev, Adıgüzel"

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The Block-Hexagonal Grid Method for Laplace’s Equation with Singularities

Çeliker, Emine (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2014-12)

A fourth order accurate matching operator is constructed on a hexagonal grid, for the interpolation of the mixed boundary value problem of Laplace’s equation, by using the harmonic properties of the solution. With the ...
High Order Accurate Approximation of the First and Pure Second Derivatives of the Laplace Equation on a Rectangle and a Rectangular Parallelepiped

Sadeghi, Hamid Mir Mohammad (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2016-06)

In thisthesis,wediscusstheapproximationofthefirstandpuresecondorderderiva- tivesforthesolutionoftheDirichletproblemforLaplace’sequationonarectangular domain andinarectangularparallelepiped.Inthecasewhenthedomainisarect ...