Browsing by Author "Seçer, Aydın"

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A computational method using multiresolution for volumetric data integration

Akınlar, Mehmet Ali; Kurulay, Muhammet; Seçer, Aydın; Çelenk, Mehmet (Springer, 2012)

In this paper, we present a new method for integration of 3-D medical data by utilizing the advantages of 3-D multiresolution analysis and techniques of variational calculus. We first express the data integration problem ...
Efficient solutions of systems of fractional PDEs by the differential transform method

Seçer, Aydın; Akınlar, Mehmet Ali; Çevikel, Erdem (Springer, 2012)

In this paper we obtain approximate analytical solutions of systems of nonlinear fractional partial differential equations (FPDEs) by using the two-dimensional differential transform method (DTM). DTM is a numerical ...
A New Approximate Analytical Solution of Kuramoto - Sivashinsky Equation Using Homotopy Analysis Method

Kurulay, Muhammet; Seçer, Aydın; Akınlar, Mehmet Ali (Natural Scıences Publishing Corp-nsp, 2013)

In this paper, Homotopy Analysis Method (HAM) is applied to obtain approximate analytical solution of modified Kuramoto-Sivashinsky (KS) equation. HAM provides a simple way to adjust and control the convergence region of ...