Qom University of TechnologyMathematics and Computational Sciences2717-27084220230601Polynomial collocation method for initial value problem of mixed integro-differential equations11270397810.30511/mcs.2023.1972559.1095ENJohnson AdekunleOsilagunDepartment of Mathematics, Faculty of Science, University of Lagos, Lagos, Nigeria0000-0001-6763-1761Adetola OlaideAdesanyaDepartment of Mathematics, Caleb University, Imota, Lagos, NigeriaTimothy AshibelAnakeDepartment of Mathematics, Covenant University, Canaan Land, Ota, Ogun State, NigeriaSamuelAdamuDepartment of Mathematics, Nigerian Army University, Biu, Borno State, NigeriaJournal Article20221115This paper presents the development and implementation of a numerical method for<br />the solution of one dimensional Mixed Fredholm Volterra Intergro-Differential Equations<br />(MFVIDEs). The new technique transformed MFVIDEs into an integral equation which<br />is then approximated using a polynomial collocation method. Standard collocation points<br />are then used to convert the problem into a system of algebraic equations. Some numerical<br />examples are used to test the efficiency and accuracy of the method. The results show<br />that the new method is efficient, accurate and easy to implement.https://mcs.qut.ac.ir/article_703978_0bb8a2a8573322eacb66bc2918930687.pdfQom University of TechnologyMathematics and Computational Sciences2717-27084220230601An extension of Lagrange interpolation formula and its applications132070397710.30511/mcs.2023.1971210.1094ENMohammad AliJafariFinancial Mathematics Department, Finance Faculty, Kharazmi University, Tehran, IranAzimAminataeiFaculty of Mathematics, K. N. Toosi University of Technology, Tehran, IranJournal Article20230127In this work, a new type of interpolation formula is introduced. These formulas can be an extension of the Lagrange interpolation formula. The error of this new type of interpolation is calculated. In order to display efficiency of the proposed formulas, three numerical examples are presented.https://mcs.qut.ac.ir/article_703977_e89d02fe934514ed1b6a2bcd3804988b.pdfQom University of TechnologyMathematics and Computational Sciences2717-27084220230601On ∂-partial-locally compact space212470514310.30511/mcs.2023.1989783.1109ENAliakbarAlijaniDepartment of Mathematics,Technical and Vocational University(TVU), Tehran,Iran0000-0002-0022-2020Journal Article20230215The aim of this paper is to introduce and give preliminary investigation of ∂-partial-locally compact spaces. Locally compactness and ∂-partial-locally compactness are independent of each other. Every locally compact Hausdorff space is ∂-partial-locally compact. But the converse is not true even though it be Hausdorff. ∂-partial-locally compactness is a topological property. ∂-partial-locally compactness is not preserved by the product topology.https://mcs.qut.ac.ir/article_705143_e8055cd71213b066d034c0e9151241e0.pdfQom University of TechnologyMathematics and Computational Sciences2717-27084220230601A Linear Mathematical Model for the Transmission Dynamics of Diabetes Mellitus253270514410.30511/mcs.2023.1982985.1100ENAbayomi AyotundeAyoadeDepartment of Mathematics, Faculty of Science, University of Lagos0000-0003-3470-0147Sunday OlanrewajuAgboolaDepartment of Mathematical Sciences, Nigerian Army University, Biu, NigeriaJournal Article20221217Diabetes mellitus is a global health problem, escalating at a disturbing rate due to unbalanced lifestyles and some underlying health issues. In this work, a system of first-order linear ordinary differential equations as well as numerical simulations were employed to gain insight into the dynamics of the disease. The theoretical outcome<br />of the analysis was derived in terms of the model parameters while computer simulation was used to assess the behavior of the model in terms of the parameter values. Both the theoretical and numerical studies of the model revealed lifestyles and effective treatment as the parameters to be targeted for effective reduction in both diabetes prevalence and mortality. It is therefore concluded that diabetes prevalence and mortality reduction is a function of adjustment in unbalanced lifestyles as well as improvement in diabetes treatment.https://mcs.qut.ac.ir/article_705144_b36123c9a6c0c4de249237336c6a8285.pdfQom University of TechnologyMathematics and Computational Sciences2717-27084220230601Improving augmented reality with the help of deep learning methods in the tourism industry334570512910.30511/mcs.2023.2001580.1118ENMehdiJabbariDepartment of computer engineering, Qom university of technology, Qom, IranMaryamAminiStudent, Department of computer science, Islamic Azad University, Naragh Branch, IranHosseinMalekinezhadFaculty member, Department of computer science, Islamic Azad University, Naragh Branch, IranZeynabBerahmandDepartment of Industrial Engineering, University of Qom, Qom, IranJournal Article20230504From an economic point of view, the tourism industry has a special place. Especially in the single-product economy of Iran, it can be used as the best and most optimal alternative to oil. Augmented reality technology is one of the world's newest and most up-to-date applied technologies, highly regarded today. This research focuses on augmented reality and its patterns. This research aims to investigate and develop a practical pattern identification of augmented reality (ar) and its tracking in the tourism industry. Designs are provided by capturing the position and orientation of the device and its location using sensors and Computer vision with screen technology (augmented reality guide). A guide is designed, implemented, and evaluated as an augmented reality application on a mobile phone. The proposed solution has been using deep learning in marker identification. The deep learning architecture used is Yolo, and the proposed method's marker identification results have an accuracy of 68.73 mapshttps://mcs.qut.ac.ir/article_705129_2dae8920720afc3fc9bebf14e51a9761.pdfQom University of TechnologyMathematics and Computational Sciences2717-27084220230601Numerical modelling of double integration with different data spacing: A Python-based approach465470397610.30511/mcs.2023.1990951.1115ENPriyanshiMishraJaypee University of Engineering and Technology, Guna, Madhya Pradesh, IndiaPramitiTewariJaypee University of Engineering and Technology, Guna, Madhya Pradesh, IndiaDhananjay RMishraJaypee University of Engineering and Technology, Guna, Madhya Pradesh, IndiaPankajDumkaJaypee University of Engineering and Technology, Guna, Madhya Pradesh, India0000-0001-5799-6468Journal Article20230304In this article, an attempt has been made to model the process of double integration for different data spacing. The trapezoidal rule has been used to perform integration, whereas Newton's divided difference handles the inconsistent data points. The whole process of numerical integration has been automated in Python programming language. The developed code is tested against two example problems, and the results obtained agree with the one shown in the literature.https://mcs.qut.ac.ir/article_703976_e5928a4370377be040acbbbfee73e4a0.pdf