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Ömür Kıvanç Kürkçü
Researcher at İzmir University of Economics
Publications - 34
Citations - 216
Ömür Kıvanç Kürkçü is an academic researcher from İzmir University of Economics. The author has contributed to research in topics: Residual & Differential equation. The author has an hindex of 6, co-authored 27 publications receiving 143 citations. Previous affiliations of Ömür Kıvanç Kürkçü include Celal Bayar University.
Papers
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A numerical approach with error estimation to solve general integro-differential-difference equations using Dickson polynomials
TL;DR: A matrix method based on the Dickson polynomials and collocation points is introduced for the numerical solution of linear integro-differential-difference equations with variable coefficients under the mixed conditions and an error analysis technique relating to residual functions is performed.
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A numerical method for solving some model problems arising in science and convergence analysis based on residual function
TL;DR: In this paper, the convergence of a Dickson polynomial solution of the model problem is investigated by means of the residual function, and the exact solutions are compared with other well-known methods in tables.
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A novel collocation method based on residual error analysis for solving integro-differential equations using hybrid Dickson and Taylor polynomials
TL;DR: In this article, a matrix method based on collocation points is proposed to solve some linear and nonlinear integro-differential equations with variable coefficients under the mixed conditions, which are obtained by means of Dickson and Taylor polynomials.
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A numerical technique based on Lucas polynomials together with standard and Chebyshev-Lobatto collocation points for solving functional integro-differential equations involving variable delays
TL;DR: In this paper, a new numerical matrix-collocation technique is considered to solve functional integro-differential equations involving variable delays under the initial conditions, which is based essentially on Lucas polynomials together with standard and Chebyshev-Lobatto collocation points.
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A Numerical Approach Technique for Solving Generalized Delay Integro-Differential Equations with Functional Bounds by Means of Dickson Polynomials
TL;DR: This study has considered the linear classes of differential-(difference), integro-differential-(Difference) and integral equations by constituting a generalized form, which contains proportional delay, difference, differentiable difference or delay by using the efficient matrix technique based on Dickson polynomials.