Computing of Existence and Uniqueness Solutions for Differential Equations in Metric Spaces by Using MATLAB

A metric space is a set along with a measurement on the set, A metric actuates topological properties like open and shut sets, which lead to the investigation of more theoretical topological spaces. It also has many applications in functional analysis. The aim of this work is design and develop highly efficient algorithms that provide the existence of unique solutions to the differential equation in metric spaces using MATLAB. The quality algorithm was used and developed to solve the differential equation in metric spaces. For accurate results. The proposed model contributed to providing an integrated computer solution for all stages of the solution starting from the stage of solving differential equations in metric space and the stage of displaying and representing the results graphically in the MATLAB program

Automatized Evaluation of Students’ CAD Models

The article describes an attempt to address the automatized evaluation of student three-dimensional (3D) computer-aided design (CAD) models. The driving idea was conceptualized under the restraints of the COVID pandemic, driven by the problem of evaluating a large number of student 3D CAD models. The described computer solution can be implemented using any CAD computer application that supports customization. Test cases showed that the proposed solution was valid and could be used to evaluate many students’ 3D CAD models. The computer solution can also be used to help students to better understand how to create a 3D CAD model, thereby complying with the requirements of particular teachers.

Enfoque educativo del software como herramienta ante la pandemia: proyecto académico Qroute

This article displays the analysis and evaluation of the use of Emerging Technologies in a computer solution to contribute to health security in the face of the COVID-19 pandemic. The objective of the study is to envision Technology with a new approach, as a tool that favors autonomy and social isolation for the benefit of health. The case study of the QRoute academic project is presented, developed by university students who exhibit disciplinary skills and competencies in a comprehensive computing solution composed of a website and a mobile application for the tourist guide in Campeche. With the application of the heuristic method, the analysis, evaluation and correspondence of the Technologies used together with the main health security strategies imposed at the national level in Mexico was carried out. The result of the study concludes that the proposed IT solution directly favors two health security strategies, confinement and healthy distance. In this way, it is ensured that the software management can act as a strategic tool for the reactivation of social, economic and commercial processes in the country.

Perturbation Expansion to the Solution of Differential Equations

The main purpose of this chapter is to describe the application of perturbation expansion techniques to the solution of differential equations. Approximate expressions are generated in the form of asymptotic series. These may not and often do not converge but in a truncated form of only two or three terms, provide a useful approximation to the original problem. These analytical techniques provide an alternative to the direct computer solution. Before attempting to solve these problems numerically, one should have an awareness of the perturbation approach.

Aplicación web para la gestión de planes e informes de trabajo académico de profesores para Instituciones de Educación Superior

This article describes the process of analysis, design, development and implementation of a web application for the management of the plans and work reports of Full Time Teachers (FTT) of Higher Education Institutions (HEI), through collaboration of the Research Group (RG) UTJAL-CA-2 Social Responsibility, Sustainability and Integral Development for SMEs of the Universidad Tecnológica de Jalisco and the Research Group UDG-CA-991 Development of Professional Competencies in Computer Sciences of the Centro Universitario de Ciencias Exactas e Ingenierías of the Universidad de Guadalajara. This process was developed through the agile SCRUM methodology for the periodicity of the phases and their implementation. The objective of the application is to provide a computer solution for the management of the academic plans and reports that according to the recommendations of the Accreditation Experts are necessary as part of the processes that ensure the quality in the Educational Programs, thus allowing to systematize and automate its processes of storage, consultation and validation, facilitating the management of them.

Basic Methods for Analysis of High Frequency Transients in Power Apparatus Windings

Power apparatus windings are subjected to voltage surges arising from transient events in power systems. High frequency surges that reach windings can cause high voltage stresses, which are usually concentrated in the sections near to the line end, or produce part-winding resonance, which can create high oscillatory voltages. Determining the transient voltage response of power apparatus windings to high frequency surges is generally achieved by means of a model of the winding structure and some computer solution method. The accurate prediction of winding and coil response to steep-fronted voltage surges is a complex problem for several reasons: the form of excitation may greatly vary with the source of the transient, and the representation of the winding depends on the input frequency and its geometry. This chapter introduces the most basic models used to date for analyzing the response of power apparatus windings to steep-fronted voltage surges. These models can be broadly classified into two groups: (i) models for determining the internal voltage distribution and (ii) models for representing a power apparatus seen from its terminals.