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Вид индекса : ESCI ✕Кафедра : Uygulamalı Matematik ... ✕
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Investigation of Kyrgyz Learners’ Engagement in Online Courses

Gülşat MUHAMETJANOVA | Azat AKMATBEKOVA

This study aimed to investigate Kyrgyz learners' engagement in online courses. In this respect, the Student Engagement Scale and appropriate open-ended questions were employed in order to obtain data from learners. The sample covers 400 undergraduate learners studying at Kyrgyz-Turkish Manas University. The study has a mixed research design, hence both quantitative and qualitative approaches were employed. The results of the study revealed that behavioral engagement has a significant effect on learner achievement. The study also demonstrated that the engagement of Kyrgyz learners in online cou ...Более

Статья 2022 Fen Fakültesi Open Praxis14 ( 2 ) 71 Просмотры
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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

Статья 2023 Fen Fakültesi Journal of Applied Mathematics2023 71 Просмотры
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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 ...Более

Статья 2023 Fen Fakültesi Sigma Journal of Engineering and Natural Sciences41 ( 2 ) 41 Просмотры
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On Survey of the Some Wave Solutions of the Non-Linear Schrödinger Equation (NLSE) in Infinite Water Depth

Ercan ÇELİK

In this work, we use two different analytic schemes which are the Sine-Gordon expansion technique and the modified exp -expansion function technique to construct novel exact solutions of the non-linear Schrödinger equation, describing gravity waves in infinite deep water, in the sense of conformable derivative. After getting various travelling wave solutions, we plot 3D, 2D and contour surfaces to present behaviours obtained exact solutions. Keywords: the sine-gordon expansion technique; the modified exp -expansion function technique; conformable derivative, non-linear schrödinger equation (NL ...Более

Статья 2023 Fen Fakültesi Gazi University Journal of Science36 ( 2 ) 35 Просмотры
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The solvability of the optimal control problem for a nonlinear Schrödinger equation

Ercan ÇELİK

In this paper, we analyze the solvability of the optimal control problem for a nonlinear Schrodinger equation. A Lions-type functional is considered as the objective functional. First, it is shown that the optimal control problem has at least one solution. Later, the Frechet differentiability of the objective functional is proved and a formula is obtained for its gradient. Finally, a necessary optimality condition is derived. Keywords: frechet differentiability; optimal control problem; optimality conditions; schrödinger equation

Статья 2023 Fen Fakültesi International Journal of Optimization and Control: Theories & Applications13 ( 2 ) 24 Просмотры
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An approximate solution of singularly perturbed problem on uniform mesh

Ercan ÇELİK

In this study, we obtain approximate solution for singularly perturbed problem of differential equation having two integral boundary conditions. With this purpose, we propose a new finite difference scheme. First, we construct this exponentially difference scheme on a uniform mesh using the finite difference method. We use the quasilinearization method and the interpolating quadrature formulas to establish the numerical scheme. Then, as a result of the error analysis, we show that the method under study is convergent in the first order. Consequently, theoretical findings are supported by numer ...Более

Статья 2024 Fen Fakültesi International Journal of Optimization and Control: Theories & Applications14 ( 1 ) 2 Просмотры
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The use of the isometry of function spaces with different numbers of variables in the theory of approximation of functions

Fahreddin ABDULLAYEV | Meerim İmaş Kızı

In the work, we found integral representations for function spaces that are isometric to spaces of entire functions of exponential type, which are necessary for giving examples of equality of approximation characteristics in function spaces isometric to spaces of non-periodic functions. Sufficient conditions are obtained for the nonnegativity of the delta-like kernels used to construct isometric function spaces with various numbers of variables.

Статья 2021 Fen Fakültesi Carpathian Mathematical Publications13 ( 3 ) 144 Просмотры
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A Singularly Perturbed System of Parabolic Equations

Asan ÖMÜRALİEV | Peyil Esengul Kızı

The work is devoted to the construction of the asymptotic behavior of the solution of a singularly perturbed system of equations of parabolic type, in the case when the limit equation has a regular singularity as the small parameter tends to zero. The asymptotics of the solution of such problems contains boundary layer functions.

Статья 2021 Fen Fakültesi Lobachevskii Journal of Mathematics42 ( 15 ) 77 Просмотры
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University learners' utilisation of online videos in a general chemistry course

Gülşat MUHAMETJANOVA | Bakıt BORKOYEV | Kalıypa SALİYEVA

The effectiveness of course videos needs to be analysed, and in doing so, it is important to consider the utilisation behaviours and opinions of learners. In this regard, this study was primarily conducted to analyse Kyrgyz learners' utilisation of videos in a general chemistry course provided at the university level. This study was conducted during the 2019-2020 spring term at a state university in the Kyrgyz Republic and was structured using a mixed-method approach. The total number of participants was 105 Kyrgyz learners studying at the undergraduate level. Quantitative data were collected ...Более

Статья 2022 Fen Fakültesi Research in Learning Technology30 127 Просмотры
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Migrant parents and psychosocial effects of parents' absence on children left behind in the Kyrgyz Republic

Gülşat MUHAMETJANOVA

This study was conducted to investigate the psychosocial effects of parents' absence on children left behind in the Kyrgyz Republic (Kyrgyzstan). A survey was conducted in 2018 with a sample of 457 secondary school children aged 11-18-years-old in the Kyrgyz Republic. The results of multiple linear regression analysis showed that the psychological well-being of children was not significantly influenced when their parents were not divorced but did live separately. However, children with parents who lived abroad and were divorced did show a significant increase in their psychological distress wh ...Более

Статья 2022 Fen Fakültesi Vulnerable Children and Youth Studies18 ( 1 ) 70 Просмотры
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Solution of the Rational Difference Equation

Dağıstan ŞİMŞEK | Burak OĞUL | Fahreddin ABDULLAYEV

In this paper, solution of the following difference equation is examined x(n+1) = x(n-13)/1+x(n-1)x(n-3)x(n-5)x(n-7)x(n-9)x(n-11), where the initial conditions are positive real numbers.

Статья 2020 Fen Fakültesi Applied Mathematics and Nonlinear Sciences5 ( 1 ) 131 Просмотры
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Solution of the Maximum of Difference Equation

Dağıstan ŞİMŞEK | Burak OĞUL | Fahreddin ABDULLAYEV

In the recent years, there has been a lot of interest in studying the global behavior of, the socalled, max-type difference equations; see, for example, [1-17]. The study of max type difference equations has also attracted some attention recently. We study the behaviour of the solutions of the following system of difference equation with the max operator:paper deals with the behaviour of the solutions of the max type system of difference equations, x(n+1) = max {A/x(n-1) , y(n)/x(n)}; y(n+1) = max {A/y(n-1) , x(n)/y(n)}, (1) where the parametr A and initial conditions x(-1), x(0), y(-1), y(0 ...Более

Статья 2020 Fen Fakültesi Applied Mathematics and Nonlinear Sciences5 ( 1 ) 51 Просмотры
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