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Adaptive methods for solving operator equations by using frames of subspaces
(Işık University Press, 2017)
In this paper, using a frame of subspaces we transform an operator equation to an equivalent `2-problem. Then, we propose an adaptive algorithm to solve the problem and investigate the optimality and complexity properties ...
Partitioning a graph into monopoly sets
(Işık University Press, 2017)
In a graph G = (V, E), a set M ? V (G) is said to be a monopoly set of G if every vertex v ? V ? M has, at least, d(v)/2 neighbors in M. The monopoly size of G, denoted by mo(G), is the minimum cardinality of a monopoly ...
Numerical solution of a 2D- diffusion reaction problem modelling the density of di-vacancies and vacancies in a metal
(Işık University Press, 2017-01-03)
A decomposition solution of a diffusion reaction problem, which models the density of di-vacancies and vacancies in a metal is presented. The results are compared with the numerical solutions. Zero - diffusion solutions ...
A note on line graphs
(Işık University Press, 2017-02-20)
The line graph and 1-quasitotal graph are well-known concepts in graph theory. In Satyanarayana, Srinivasulu, and Syam Prasad [13], it is proved that if a graph G consists of exactly m connected components Gi (1 ? i ? m) ...
A discussion on some recent coupled fixed point results via new generalized nonlinear contractive conditions
(Işık University Press, 2017)
Recently, Samet et al. [34], by using the equivalence of the three basic metrics showed that certain coupled fixed point results can be obtained immediately from the well-known fixed point theorems. In the setting of ...
Combining genetic algorithm and Sinc-Galerkin method for solving an inverse diffusion problem
(Işık University Press, 2017)
A numerical approach combining the use of a genetic algorithm with the solution of the Sinc-Galerkin method is proposed for the determination of an unknown time-dependent diffusivity a(t) in an inverse diffusion problem ...
On complex multiplicative integration
(Işık University Press, 2017)
In the present paper, we extend the multiplicative integral to complex-valued functions of complex variable. The main difficulty in this way, that is, the multi-valued nature of the complex logarithm is avoided by division ...
A new heuristic algorithm for multiple traveling salesman problem
(Işık University Press, 2017)
The Multiple Traveling Salesman Problem (mTSP) is a combinatorial optimization problem in NP-hard class. The mTSP aims to acquire the minimum cost for traveling a given set of cities by assigning each of them to a different ...
Certain integral transforms and fractional integral formulas for the extended hypergeometric functions
(Işık University Press, 2017)
In this present paper, we derive various integral transforms, including Euler, Varma, Laplace, and Whittaker integral transforms for the extended hypergeometric functions which has recently been introduced by Choi et al.[3]. ...
Numerical solution of the interrelated differential equation of motion in phonon engineering
(Işık University Press, 2017)
In this work, we study numeric calculations of phonon modes in nanostructures. The motion equation of atoms in a crystal with some simplification, results in a second order ordinary differential equation and two interrelated ...