6 results
Search Results
Now showing 1 - 6 of 6
Article Citation - WoS: 4Citation - Scopus: 5An Unconventional Finite Difference Scheme for Modified Korteweg-De Vries Equation(Hindawi Ltd, 2017) Koroglu, Canan; Aydin, AyhanA numerical solution of the modified Korteweg-de Vries (MKdV) equation is presented by using a nonstandard finite difference (NSFD) scheme with theta method which includes the implicit Euler and a Crank-Nicolson type discretization. Local truncation error of the NSFD scheme and linear stability analysis are discussed. To test the accuracy and efficiency of the method, some numerical examples are given. The numerical results of NSFD scheme are compared with the exact solution and a standard finite difference scheme. The numerical results illustrate that the NSFD scheme is a robust numerical tool for the numerical integration of the MKdV equation.Article Citation - WoS: 57Citation - Scopus: 65A Proposal to the Study of Contractions in Quasi-Metric Spaces(Hindawi Ltd, 2014) Alsulami, Hamed H.; Karapinar, Erdal; Khojasteh, Farshid; Roldan-Lopez-de-Hierro, Antonio-FranciscoWe investigate the existence and uniqueness of a fixed point of an operator via simultaneous functions in the setting of complete quasi-metric spaces. Our results generalize and improve several recent results in literature.Article Citation - WoS: 31Citation - Scopus: 38A Computationally Efficient Method for Hybrid Eeg-Fnirs Bci Based on the Pearson Correlation(Hindawi Ltd, 2020) Hasan, Mustafa A. H.; Khan, Muhammad U.; Mishra, DeeptiA hybrid brain computer interface (BCI) system considered here is a combination of electroencephalography (EEG) and functional near-infrared spectroscopy (fNIRS). EEG-fNIRS signals are simultaneously recorded to achieve high motor imagery task classification. This integration helps to achieve better system performance, but at the cost of an increase in system complexity and computational time. In hybrid BCI studies, channel selection is recognized as the key element that directly affects the system's performance. In this paper, we propose a novel channel selection approach using the Pearson product-moment correlation coefficient, where only highly correlated channels are selected from each hemisphere. Then, four different statistical features are extracted, and their different combinations are used for the classification through KNN and Tree classifiers. As far as we know, there is no report available that explored the Pearson product-moment correlation coefficient for hybrid EEG-fNIRS BCI channel selection. The results demonstrate that our hybrid system significantly reduces computational burden while achieving a classification accuracy with high reliability comparable to the existing literature.Article Citation - WoS: 2Citation - Scopus: 4On a Discrete Inverse Problem for Two Spectra(Hindawi Ltd, 2012) Guseinov, Gusein Sh.A version of the inverse spectral problem for two spectra of finite-order real Jacobi matrices (tridiagonal symmetric matrices) is investigated. The problem is to reconstruct the matrix using two sets of eigenvalues: one for the original Jacobi matrix and one for the matrix obtained by deleting the last row and last column of the Jacobi matrix.Article Citation - WoS: 54Citation - Scopus: 76Fixed Points of Generalized f-suzuki Type Contraction in Complete b-metric Spaces(Hindawi Ltd, 2015) Alsulami, Hamed Hamdan; Karapinar, Erdal; Piri, HosseinWe introduce the notion of generalized F-Suzuki type contraction in b-metric spaces and investigate the existence of fixed points of such mappings. The presented results generalize and improve several results of the topics in the literature.Article Citation - WoS: 8Citation - Scopus: 9Life Behavior of a System Under Discrete Shock Model(Hindawi Ltd, 2012) Eryilmaz, SerkanWe study the life behavior of a system which is subjected to shocks of random magnitudes over discrete time periods. We obtain the survival function and mean time to failure of the system assuming that the sizes of the shocks follow a discrete probability distribution under cumulative and mixed shock models.
