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In the current work, two-dimensional source identification problem for the telegraph equation with Neumann boundary condition is investigated. The first order of accuracy absolute stable difference scheme to find the numerical solution of the two-dimensional identification problem for the telegraph equation with the second kind boundary condition is solved. A numerical example of the time-dependent source identification problem has been carried out to check the accuracy and effectiveness of the presented technique. [ABSTRACT FROM AUTHOR]

In this paper, the numerical solution of delay nonlinear parabolic differential equations is studied. The first and second order of accuracy difference schemes for the solution of one dimensional nonlinear parabolic equation with time delay and nonlocal conditions are presented. Numerical results have been provided and compared with the exact solution to show the efficiency of the proposed numerical method. [ABSTRACT FROM AUTHOR]

In this study, we propose the first order of accuracy difference scheme for approximate solution of Neumann-type elliptic source identification problem (SIP) with mixed boundary and non-local integral conditions. We obtain stability and coer-cive stability estimates for solution of difference problem. Finally, we present computation results on test example. [ABSTRACT FROM AUTHOR]

In this paper, the first order of accuracy absolutely stable difference scheme for the approximate solution of the identification problem for the telegraph equation with the Dirichlet condition is proposed. Numerical results have been provided for the solution of time-dependent source identification problems for telegraph differential equations in the two-dimensional case. [ABSTRACT FROM AUTHOR]

In this work, we study the second order of accuracy difference scheme for approximate solution of elliptic source identification problem with integral type non-local condition. We establish stability and coercive stability estimates for solution of difference scheme. In addition, computation results on test example are given. [ABSTRACT FROM AUTHOR]

In this work, we study time-nonlocal boundary value problem for multi-dimensional parabolic partial differential equa- tion. Two difference schemes for approximate solution of non-local boundary value problem are discussed. Theorems on stability of solutions both difference schemes are given without proof. Numerical results for test examples are outlined. [ABSTRACT FROM AUTHOR]

In this work, we discuss a third order of accuracy difference scheme for approximate solution of the elliptic overdeter-mined multi-point problem in the Hilbert space. Functional operator approach is used to study existence and uniqueness of solution of difference problem. Stability, almost coercive stability and coercive stability estimates for solution of difference scheme are established. [ABSTRACT FROM AUTHOR]

In this study, the first order of accuracy difference scheme for approximate solution of source identification elliptic problem with integral and second kind boundary conditions is considered. Stability and coercive stability estimates for solution of the difference scheme are described. Moreover, test example with computation results is given. [ABSTRACT FROM AUTHOR]

A Galerkin finite element method is constructed for computing solution of the Fisher equation. Hyperbolic-trigonometric tension (HTT) B-splines are used as weight and shape functions in the Galerkin approach. Fully discretization of the Fisher equation is fulfilled via Crank-Nicolson method in time and Galerkin method in space. Travelling wave front solution is studied to show robustness of the presented scheme on Fisher equation. The numerical results obtained with the present method are satisfactory with regard to its accuracy. [ABSTRACT FROM AUTHOR]

A numerical approach is defined to get the solution of the regularized long wave (RLW) equation. The hyperbolic- trigonometric tension (HTT) B-spline is adapted as a trial function to the Galerkin method. Space integration of the RLW equation is managed trough HTT B-spline Galerkin method over the finite elements. Resulting system of ordinary differential equations is integrated using the Crank Nicolson technique. Thus RLW equation is fully integrated into system of nonlinear algebraic equations. Solution of this system gives the approximate solution of the RLW equation over the given problem domain. [ABSTRACT FROM AUTHOR]

In this paper, Rayleigh Gamma Gompertz (RGGom), as a new compound distribution, is introduced. Various fundamental statistical properties of RGGom distribution, including explicit expressions for the non-central rth moment, characteristic function, quantile function and simulated data, Shannon and relative entropies, and reliability stress strength model, were studied and inspected. The unknown parameters of RGGom have been estimated using the estimation method of maximum likelihood. Furthermore, the RGGom distribution is applied upon a simulation study and two real-life data sets to assess its usefulness and flexibility. [ABSTRACT FROM AUTHOR]

We establish large deviation inequalities with exponential decay for the maximum of partial sums of subgaussian random variables. Applying our result to acceptable sequences of bounded mean zero random variables, we strengthen a well-known inequality of Hoeffding. As a consequence we prove a bounded law of iterated logarithm for this class of random variables. The obtained method, also allows us to state a strong integrability property for weighted series of negatively dependent random variables. [ABSTRACT FROM AUTHOR]

The aim of this paper is to propose a new flexible compound distribution named Marshal Olkin Marshal Olkin Gompertz (MOMOGo) distribution. Reliability characteristics besides several statistical properties of the proposed distribution have discussed. The maximum likelihood method, under a complete sample, is used to estimate the distribution parameters. Furthermore, two real data sets are considered to investigate the applicability of the proposed MOMOGo distribution. [ABSTRACT FROM AUTHOR]

Fractal image coding is one of the active techniques for image compression. It always motivates for designing efficient algorithms to optimize the search space and reduce computation efforts, which is the main disadvantage of this technique. Hybridizing the metaheuristic methods has a vital interest in the optimization field. In this work, an intelligent search technique based on combining of crowding genetic and scattered search methods is proposed, in which the essential steps (generating a collection of diverse trial solutions, and the combined solutions method) in scattered search replaced by the two essential steps (the recombination and the mutation) in crowding method. Satisfactory results in reducing the computation cost of the fractal image compression technique are obtained. [ABSTRACT FROM AUTHOR]

A multi-dimensional QTRU public-key cryptosystem improves NTRU by replacing the original ring in NTRU by quaternion algebra. In this paper, we introduce QMNTR an improvement of QTRU by using a new mathematical structure of two public keys and five private keys. This modification has enhanced the public key system to be more robust and secure. [ABSTRACT FROM AUTHOR]

Second order degenerate Chiral oscillator Lagrangian is reduced into first order Lagrangian and Hamiltonian analysis of this formalism is performed by means of the DiracBergmann constraint algorithm. [ABSTRACT FROM AUTHOR]

The case k = 3 of a complete k-partite graph is called a complete tripartite graph Tp,q,r. It is a graph that its vertices are decomposed into three disjoint sets such that, no two graph vertices within the same set are adjacent. It has recently attracted much attention due to its important in several applications, especially, in chemistry where some of the molecular orbital compounds are correspondents to the tripartite graph structure. One method of capturing graph structure is through computing of the characteristic polynomial for the matrix characterization M of a graph, which is defined as the determinant | λI – M | where I is the identity matrix and λ is the variable of the polynomial. The general technique of the characteristic polynomials evaluation of graphs with large number of vertices is considered as an extremely tiresome problem when it is based on matrix, because its computational complexity is high. In this paper, a new approach for the characteristic polynomial of a complete tripartite graph Ti,i,n−2i, for n ≥ 4, based on the adjacency matrix is introduced. It shows good efficiency because it reduces the complexity and the difficulty of computation in comparing to some well-known methods especially, for the graphs with large number of vertices. [ABSTRACT FROM AUTHOR]

A two layer Implicit method on hexagonal grids is proposed for approximating the solution to first type boundary value problem of heat equation on rectangle. It is proven that the given implicit scheme is unconditionally stable and converges to the exact solution on the grids of order O (h 4 + τ 2) where, h and 3 2 h are the step sizes in space variables x1 and x2 respectively and τ is the step size in time. The method is applied on a test results. [ABSTRACT FROM AUTHOR]

This paper proposes a stabilization method to approximate analytical solutions of magnetohydrodynamics (MHD) equations. The method adds two modular grad-div steps into fully-discrete finite element MHD solver. The main idea in these intrusive steps is to penalize the divergence of the velocity/magnetic fields both in L2 and H1-norms. The paper confirms the optimal convergence of the method, and gives numerical experiments which reveal positive effect of the method as in the usual grad-div stabilization. [ABSTRACT FROM AUTHOR]

Diabetic Retinopathy (DR) is a vascular disorder affecting the retina due to prolonged diabetes. DR is one of the causes of vision defection. The risk of blindness can be reduced significantly in patients by early screening of diabetic patients for the development of diabetic retinopathy. In this study, vascular structure was extracted from fundus images using the Kirsch's method. Gaussian filter has been applied to the extracted vascular structure and removed from its noise. In this way, the detection of DR by pre-trained artificial intelligence has been made significantly easier. [ABSTRACT FROM AUTHOR]

The dependence on technology, digital transformation and the need to work remotely are increasing day by day. It is predicted to increase further after this COVID-19 pandemic. The desire to digitize every object also leads to the need to develop or update many application software. It is very difficult with traditional software development methods to produce flexible solutions to such dynamic and changing demands on time. At the same time, there are problems such as finding qualified human resources and high cost in writing and updating corporate program codes that can be considered complex on a large scale. Low-code software development platforms provide solutions for such problems. These platforms aim to produce flexible and less costly programs in a shorter time by using drag-and-drop components through visual interfaces without requiring deep programming knowledge. This study is based on the examination of the SetXRM platform, which is one of the new generation low-code applications that helps to produce more flexible and short-term solutions to the increasing software needs of the enterprise. [ABSTRACT FROM AUTHOR]

In this paper, the effect of the simultaneous rotation of two different groups, hydroxyl (OH) and hydroxymethyl (CH2OH) groups, on the basic properties of Glycerol are comprehensively studied. Relative energies are reported at the HF/ aug-cc-pVDZ, b3lyp/ aug-cc-pVDZ levels with corrections for zero-point vibrational energies. Structural parameters, Electric Dipole Moment and HOMO-LUMO energy gap of the identified conformers are also tabled. An inverse correlation between the relative energy and HOMO-LUMO energy gap is seen. [ABSTRACT FROM AUTHOR]

Recently, Big Data is gathered from various sources in different types, and it is not easy to analyze them by traditional methods. Apache Hadoop is a robust solution to the problems of saving and processing large datasets by providing HDFS (Hadoop Distributed File System) and MapReduce for storing and processing data. One of the essential methods for analyzing big data to discover new patterns is the clustering algorithms. In this paper, we have used the canopy clustering algorithm provided by Distributed Machine Learning with Apache Mahout as preprocessing step for the k-means clustering algorithm. The results showed that using Canopy as a preprocessing step has sped up the time of managing the massive scale of the healthcare insurance dataset, and it also reduces the execution time of the k-means by providing initial centroids for the given dataset. [ABSTRACT FROM AUTHOR]

Facial expression recognition has become an increasingly important area of research in recent years. Neural network- based methods have made amazing progress in performing recognition-based tasks, winning competitions set up by various data science communities, and achieving high performance on many datasets. Miscellaneous regularization methods have been utilized by various researchers to help combat over-fitting, to reduce training time, and to generalize their models. In this paper, by applying the Haar Cascade classifier to crop faces and focus on the region of interest, we hypothesize that we would attain a fast convergence without using the whole image to analyze facial expressions. We also apply label smoothing and analyze its effect on the databases of CK+, KDEF, and RAF. The ResNet model has been employed as an example of a neural network model. Label smoothing has demonstrated an improvement of the recognition accuracy up to 0.5% considering CK+ and the KDEF databases. While the application of Haar Cascade has shown to decrease the achieved accuracy on KDEF and RAF databases with a small margin, fast convergence of the model has been observed. [ABSTRACT FROM AUTHOR]

"Fake News (FNs) is defined as a made-up story to deceive or to mislead." The problem of FNs spread widely in recent years, especially on social media such as Facebook, Twitter, and other sources like webs and blogs. It has become a significant problem in society as a result of changing people's ideas and opinions about the direction of this news. In this paper, FNs detection can be proposed by using the Term Frequency-Inverse Document Frequency (TF-IDF) as features extraction, and Multi-Layer perceptron (MLP) algorithm as a classifier. Two phases (feed-forward and back-propagation) are used with a three-layers, which are (input layer, one hidden layer, and output layer). After running our proposed algorithm on a FNs dataset, the classification accuracy achieved equals 95.47%. [ABSTRACT FROM AUTHOR]