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BM Sürdürülebilir Kalkınma : Sağlık ve Kaliteli Y ... ✕Araştırmacılar : Ercan ÇELİK ✕
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Prof. Dr. Ercan ÇELİKFen Fakültesi
Sağlık ve Kaliteli YaşamSağlıklı ve kaliteli yaşamı her yaşta güvence altına almak
Erişime Açık

The Consecutive Substitution Method for Boundary Value Problems (BVPs) with Retarded Argument

Ercan ÇELİK

In this study, we applied an approximate solution method for solving the boundary value problems (BVPs) with retarded argument. The method is the consecutive substitution method. The consecutive substitution method was applied and an approximate solution was obtained. The numerical solution and the analytical solution are compared in the table. The solutions were found to be compatible. Keywords: approximate solution; boundary-value problem; numerical solution; retarded argument; solution methods; substitution method; boundary value problems

Makale 2023 Fen Fakültesi Journal of Applied Mathematics2023 71 Görüntülenme
Erişime Açık

Novel analytical and approximate-analytical methods for solving the nonlinear fractional smoking mathematical model

Ercan ÇELİK

Smoking is globally a challenging issue that causes many fatal health problems. In this paper, a nonlinear fractional smoking mathematical model is proposed in the context of a modi-fied form of the Caputo fractional-order derivative. The analytical and approximate-analytical solutions are obtained for the proposed mathematical model via the fractional differential transform method (FDTM) and Laplace Adomian decomposition method (LADM). The ob-tained solution is provided as a rapidly convergent series. Simulation results are provided in this paper to compare the obtained solutions by FDTM, LAD ...Daha fazlası

Makale 2023 Fen Fakültesi Sigma Journal of Engineering and Natural Sciences41 ( 2 ) 41 Görüntülenme
Erişime Açık

Invariant Solutions and Conservation Laws of the Time-Fractional Telegraph Equation

Ercan ÇELİK

In this study, the Lie symmetry analysis is given for the time-fractional telegraph equation with the Riemann-Liouville derivative. This equation is useable to describe the physical processes of models possessing memory. By applying classical and nonclassical Lie symmetry analysis for the telegraph equation with & alpha;,& beta; time-fractional derivatives and some technical computations, new infinitesimal generators are obtained. The actual methods give some classical symmetries while the nonclassical approach will bring back other symmetries to these equations. The similarity reduction and c ...Daha fazlası

Makale 2023 Fen Fakültesi Advances in Mathematical Physics2023 14 Görüntülenme
Erişime Açık

USING FUZZY-ROUGH SET EVALUATION FOR FEATURE SELECTION AND NAIVE BAYES TO CLASSIFY THE PARKINSON DISEASE

Ercan ÇELİK

Feature selection is one of the issues in machine learning as well as statistical pattern recognition. This is important in many fields (such as classification) because there are many features in these areas, many of which are either unused or have little information load. Not eliminating these features does not make a problem in terms of information, but it does increase the computational burden for the intended application. Besides, it causes to store of so much useless information along with useful data. A problem for machine learning research occurs when there are many possible features wi ...Daha fazlası

Makale 2022 Fen Fakültesi Miskolc Mathematical Notes23 ( 2 ) 54 Görüntülenme
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