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Head-on collision of the solitary waves in fluid-filled elastic tubes
(Işık University Press, 2018-04-12)
In the present work, by employing the field equations given in [15] and the extended PLK method derived in [9], we have studied the head-on collision of solitary waves in arteries. Introducing a set of stretched coordinates ...
Compressive spectral renormalization method
(Işık University Press, 2018-09-09)
In this paper a novel numerical scheme for finding the sparse self-localized states of a nonlinear system of equations with missing spectral data is introduced. As in the Petviashivili's and the spectral renormalization ...
Higher order perturbation expansion for ion-acoustic solitary waves with q-nonextensive nonthermal velocity distribution
(Işık University Press, 2018-09-11)
The basic nonlinear equations describing the dynamics of a two component plasma consisting of cold positive ions and electrons obeying hybrid q-nonextensive nonthermal velocity distribution are examined through the use of ...
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 ...
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 ...
On tracking of solutions of parabolic variational inequalities
(Işık University Press, 2012-04-19)
The problem of constructing a feedback control algorithm for a parabolic variational inequality is considered. This algorithm should provide tracking a prescribed trajectory by a solution of the given inequality. Two solving ...
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 ...
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 ...
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 ...
