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Toplam kayıt 976, listelenen: 1-10
Rogue wavefunctions due to noisy quantum tunneling potentials
(Işık University Press, 2017-02-02)
In this paper, we study the effects of white-noised potentials on nonlinear quantum tunneling. We use a split-step scheme to numerically solve the nonlinear Schrodinger equation (NLSE) with a tunneling potential. We consider ...
On the third boundary value problem for parabolic equations in a non-regular domain of R? +1
(Işık University Press, 2016)
In this paper, we look for sufficient conditions on the lateral surface of the domain and on the coefficients of the boundary conditions of a N?space dimensional linear parabolic equation, in order to obtain existence, ...
Haar basis method to solve some inverse problems for two-dimensional parabolic and hyperbolic equations
(Işık University Press, 2013)
A numerical method consists of combining Haar basis method and Tikhonov regularization method. We apply the method to solve some inverse problems for twodimensional parabolic and hyperbolic equations using noisy data. In ...
Application of the generalized clifford-dirac algebra to the proof of the dirac equation fermi-bose duality
(Işık University Press, 2013)
The consideration of the bosonic properties of the Dirac equation with arbitrary mass has been continued. As the necessary mathematical tool the structure and different representations of the 29-dimensional extended real ...
A numerical solution of an inverse parabolic problem
(Işık University Press, 2012-05-07)
In this paper, we will first study the existence and uniqueness of the solution of an inverse problem for a linear equation with non-linear boundary conditions (radiation terms), via an auxiliary problem. Furthermore, a ...
On the existence of solution for an inverse problem
(Işık University Press, 2013)
We consider a boundary detection problem. We present physical motivations. We formulate the problem as a shape optimization problem by introducing the Neumann condition of the accessible part in a cost functional to be ...
Asymptotic expansions for the ergodic moments of a semi-markovian random walk with a generalized delaying barrier
(Işık University Press, 2012)
In this study, a semi-Markovian random walk process (X(t)) with a generalized delaying barrier is considered and the ergodic theorem for this process is proved under some weak conditions. Then, the exact expressions and ...
Contribution of higher order terms to the nonlinear shallow water waves
(Işık University Press, 2012-05-12)
In this work, by utilizing the scaled multiple-space expansion method, we studied the propagation of weakly nonlinear waves in shallow water and obtained the governing evolution equations of various order terms in the ...
Energy preserving integratıon of KDV-KDV systems
(Işık University Press, 2012-07-01)
Coupled Korteweg de Vries (KdV) equations in Hamiltonian form are integrated by the energy preserving average vector field (AVF) method. Numerical results confirm long term preservation of the energy and the quadratic ...
Partial cone metric space and some fixed point theorems
(Işık University Press, 2013)
In the present paper, we have proved some convergence properties of a sequence of elements in a partial cone metric space and thereby we have established some fixed point theorems on it.