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View article: Geometric Brownian Motion Based on Stochastic Differential Equation Modeling Considering the Change Point Estimation for the Fluctuation of the Turkish Lira Against the US Dollar
Geometric Brownian Motion Based on Stochastic Differential Equation Modeling Considering the Change Point Estimation for the Fluctuation of the Turkish Lira Against the US Dollar Open
In this study, the data showing the fluctuation of the Turkish Lira (TL) against the US Dollar (USD) between 19.06.2017 and 19.06.2022 were examined with Geometric Brownian Motion Stochastic Differential Equation Modeling (GBM SDEM). The s…
View article: Classification of Diabetes Data Set from Iraq via Different Machine Learning Techniques
Classification of Diabetes Data Set from Iraq via Different Machine Learning Techniques Open
Diabetes has become one of the most prevalent diseases in Iraq and is listed as one of the leading causes of death. Machine learning provides effective information extraction results by creating predictive models from diagnostic medica…
View article: A second order numerical method for singularly perturbed Volterra integro-differential equations with delay
A second order numerical method for singularly perturbed Volterra integro-differential equations with delay Open
This study deals with singularly perturbed Volterra integro-differential equations with delay. Based on the properties of the exact solution, a hybrid difference scheme with appropriate quadrature rules on a Shishkin-type mesh is construct…
View article: STATISTICAL METHODS FOR EFFECTIVE DECISION MAKING IN BUSINESS
STATISTICAL METHODS FOR EFFECTIVE DECISION MAKING IN BUSINESS Open
Abstract The present study aims to examine the application of statistical methodologies in facilitating efficient decision-making processes within a specific subset of businesses, namely small and medium-sized enterprises (SMEs) located in…
View article: A stochastic numerical approach for a class of singular singularly perturbed system
A stochastic numerical approach for a class of singular singularly perturbed system Open
In the present study, a neuro-evolutionary scheme is presented for solving a class of singular singularly perturbed boundary value problems (SSP-BVPs) by manipulating the strength of feed-forward artificial neural networks (ANNs), global s…
View article: Fitting the Itô Stochastic differential equation to the COVID-19 data in Turkey
Fitting the Itô Stochastic differential equation to the COVID-19 data in Turkey Open
In this study, COVID-19 data in Turkey is investigated by Stochastic Differential Equation Modeling (SDEM). Firstly, parameters of SDE which occur in mentioned epidemic problem are estimated by using the maximum likelihood procedure. Then,…
View article: Design of Morlet Wavelet Neural Network for Solving a Class of Singular Pantograph Nonlinear Differential Models
Design of Morlet Wavelet Neural Network for Solving a Class of Singular Pantograph Nonlinear Differential Models Open
The aim of this study is to design a layer structure of feed-forward artificial neural networks using the Morlet wavelet activation function for solving a class of pantograph differential Lane-Emden models. The Lane-Emden pantograph differ…
View article: Design of a Novel Second-Order Prediction Differential Model Solved by Using Adams and Explicit Runge–Kutta Numerical Methods
Design of a Novel Second-Order Prediction Differential Model Solved by Using Adams and Explicit Runge–Kutta Numerical Methods Open
In this study, a novel second-order prediction differential model is designed, and numerical solutions of this novel model are presented using the integrated strength of the Adams and explicit Runge–Kutta schemes. The idea of the present s…
View article: Numerical Solution of Fractional Order Burgers’ Equation with Dirichlet and Neumann Boundary Conditions by Reproducing Kernel Method
Numerical Solution of Fractional Order Burgers’ Equation with Dirichlet and Neumann Boundary Conditions by Reproducing Kernel Method Open
In this research, obtaining of approximate solution for fractional-order Burgers’ equation will be presented in reproducing kernel Hilbert space (RKHS). Some special reproducing kernel spaces are identified according to inner products and …
View article: Analysis of Factors Effecting PISA 2015 Mathematics Literacy via Educational Data Mining
Analysis of Factors Effecting PISA 2015 Mathematics Literacy via Educational Data Mining Open
The aim of this study is to determine the factors affecting PISA 2015 Mathematics literacy by using data mining methods such as Multi-layer Perceptron Artificial Neural Networks and Random Forest. Cause and effect relation within the conte…
View article: A Numerical Scheme For Semilinear Singularly Perturbed Reaction-Diffusion Problems
A Numerical Scheme For Semilinear Singularly Perturbed Reaction-Diffusion Problems Open
In this study we investigated the singularly perturbed boundary value problems for semilinear reaction-difussion equations. We have introduced a basic and computational approach scheme based on Numerov’s type on uniform mesh. We indicated …
View article: A finite difference method on layer-adapted mesh for singularly perturbed delay differential equations
A finite difference method on layer-adapted mesh for singularly perturbed delay differential equations Open
The purpose of this paper is to present a uniform finite difference method for numerical solution of a initial value problem for semilinear second order singularly perturbed delay differential equation. A numerical method is constructed fo…
View article: Predicting factors affecting PISA 2015 mathematics literacy via radial basis function artificial neural network
Predicting factors affecting PISA 2015 mathematics literacy via radial basis function artificial neural network Open
In this study, using Radial Based Artificial Neural Networks (RBANN) method, one of the methods of data mining, it is aimed to determine the factors affecting PISA 2015 Mathematics literacy. Mathematics literacy scores, which were made in …
View article: Numerical solution of time-fractional Burgers equation in reproducing kernel space
Numerical solution of time-fractional Burgers equation in reproducing kernel space Open
In this paper, we present an iterative reproducing kernel method for numerical solution of one dimensional fractional Burgers equation with variable coefficient. Convergence analysis is constructed theoretically. Numerical experiments show…
View article: Numerical solution of singularlyperturbed convection-diffusion equations
Numerical solution of singularlyperturbed convection-diffusion equations Open
In this paper, a new method is given for solving\nsingularly perturbed convection-diffusion problems. The\npresent method is based on combining the asymptotic\nexpansion method and the variational iteration method (VIM)\nwith an auxiliary …
View article: A fitted numerical method for singularly perturbed integro differential equations with delay
A fitted numerical method for singularly perturbed integro differential equations with delay Open
This study deals with the singularly perturbed\ninitial value problems for a quasilinear first-order integrodifferential\nequations with delay. A numerical method is\ngenerated on a grid that is constructed adaptively from a\nknowledge of …
View article: A quasilinearization technique for the solution of singularly perturbed delay differential equation
A quasilinearization technique for the solution of singularly perturbed delay differential equation Open
This study deals with the singularly perturbed initial value problems for a quasilinear first-order delay differential equation.A quasilinearization technique for the appropriate delay differential problem theoretically and experimentally …
View article: Novel Behaviors to the Nonlinear Evolution Equation Describing the Dynamics of Ionic Currents along Microtubules
Novel Behaviors to the Nonlinear Evolution Equation Describing the Dynamics of Ionic Currents along Microtubules Open
\nIn this work, we consider the Bernoulli sub-equation function method for obtaining novel behaviors to the nonlinear evolution equation describing the dynamics of ionic currents along Microtubules. We obtain new results by using this tech…
View article: Exponentially fitted methods on layer-adapted mesh for singularly perturbed delay differential equations
Exponentially fitted methods on layer-adapted mesh for singularly perturbed delay differential equations Open
The purpose of this study is to present a uniform finite difference method for numerical solution of a initial value problem for quasi-linear second order singularly perturbed delay differential equation. A numerical method is constructed …