Browsing by Author "Akınlar, Mehmet Ali"
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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 ... -
A New Method for Parameter Sensitivity Analysis of Lorenz Equations
Akınlar, Mehmet Ali (Hindawi, 2013)A new method for parameter sensitivity analysis of Lorenz equations is presented. The sensitivity equations are derived based on the staggered methods. Experimental results indicate that it is possible to determine effects ...