Yazar "Bal, Hakan" seçeneğine göre listele

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    The D'Alembert Type Solution of the Cauchy Problem for the Homogeneous with Respect to Fourth Order Derivatives for Hyperbolic Equation
    (Springer International Publishing Ag, 2017) Rasulov, Mahir; Aslan, Zafer; Sinsoysal, Bahaddin; Bal, Hakan
    In this paper the D'Alembert type solution for the following Sigma(i=0) a(i) partial derivative(4)u (x, t)/partial derivative t(4)-(i)partial derivative x(i) = 0, partial derivative(k) u(x, t)/partial derivative t(k) |(t=0) = phi(k) (x), (k = 0, 1, 2, 3) Cauchy problem is constructed. Here, a(i), (i = 1, 2, 3, 4) and fk (x), (k = 1, 2, 3, 4) are given constants and functions, respectively. The cases where the roots of the characteristic equation are folded are examined and compact expressions for the solutions are obtained. The obtained solutions allow proving the uniqueness and existence of the solutions of the considered problem.
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    Determinants of the Profitability of Banking Sector in Turkey
    (Doğuş Üniversitesi, 2022) Bal, Hakan; Sönmezer, Sıtkı
    The profitability of banks is an important subject around the world, since the banking system is a vital component in any economy, thus interests many parties including investors and regulatory bodies. This study aims to shed light to the factors that affect the profitability of banks in Turkey across bank types using the annual data for the banks in Turkey between 2004 and 2017. Overall, credit riskiness, funding cost and GDP growth has a positive effect and operating cost has a negative effect on bank profitability. Higher illiquidity, funding cost and operating cost significantly positively affects profitability for large, private and foreign banks but not for state banks. Labor productivity however, while significantly positively affects profitability for foreign banks, it has a negative effect on profitability for large and private banks. The findings suggest important regulatory suggestions for the banking and finance system.
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    Investigating the Dynamics of Traffic Flow on a Highway in a Class of Discontinuous Functions
    (Springer-Verlag Berlin, 2015) Sinsoysal, Bahaddin; Bal, Hakan; Sahin, E. Ilhan
    This work is devoted to finding a solution of Riemann problem for the first order nonlinear partial equation which describes the traffic flow on highway. When rho(l) > rho(r), the solution is presented as a piecewise continuous function, where rho(l) and rho(r) are the densities of cars on the left and right side of the intersection respectively. On the contrary case, a shock of which the location is unknown beforehand arises in the solution. In this case, a special auxiliary problem is introduced, the solution of which makes it possible to write the exact solution showing the locations of shock. For the realization of the proposed method, the parameters of the flow are also found.
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    Numerical Solution of Nonlinear Parabolic Type Equation in the Class of Generalized Functions with Degeneration
    (Amer Inst Physics, 2018) Sinsoysal, Bahaddin; Bal, Hakan; Yilmaz, Kubra
    In this paper, a method for obtaining the numerical solution of the first type initial boundary value problem for a second order degenerate parabolic equation is suggested. To this end, in accordance with the smoothness of the solution of the investigated problem, we introduce an auxiliary problem, as it has some advantages over the main problem, and is equivalent to the main problem in a definite sense. Using the introduced auxiliary problem, we write a more sensitive numerical scheme whose solution expresses all of the physical properties of the problem accurately. Moreover, using the auxiliary problem, we can write the higher order numerical schemes with respect to the time variable.