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All Journal Alifmatika: Jurnal Pendidikan dan Pembelajaran Matematika
Kameshwar Sahani
Department of Civil Engineering, Kathmandu University, Dhulikhel 45200, Nepal
Religion Education Mathematics Physics Other

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Journey to the cosmos: Navigating stellar evolution with differential equations Anshuman Jha; Suresh Kumar Sahani; Aditya Jha; Kameshwar Sahani
Alifmatika (Jurnal pendidikan dan pembelajaran Matematika) Vol 5 No 2 (2023): Alifmatika - December
Publisher : Fakultas Tarbiyah Universitas Ibrahimy

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35316/alifmatika.2023.v5i2.282-297

Abstract

Differential equations are a fundamental and versatile mathematical tool that finds widespread application across diverse academic disciplines, from physics and biology to economics and engineering. The primary objectives of this report are to demonstrate the application of differential equations in stellar evolution, construct a mathematical model to demonstrate nuclear reactions in a star, and illustrate energy transport within a star. Triangulation was used to prepare this report, with literature studies being the primary method. This study includes several documents and field data analyzed using qualitative research. Through research and observations, two hypothetical case studies illustrate the indispensable application of differential equations in modeling energy transport and nuclear reactions within stars through which the value of luminosity was calculated in a particular star due to both radiative energy transport and convective energy transport while in another star, the helium abundance in the core was estimated to approach a value of 1.195*1077. These differential equations are not only limited to the growth of a lead but also have broader applications that are essential for understanding the chemical composition of the universe and its prolonged evolution. The report also underscores the enduring importance of differential equations in advancing our understanding of the cosmos and their vital role in space exploration and technological innovations.
Rocket science unveiled: A differential equation exploration of motion Pravesh Sharma; Suresh Kumar Sahani; Kritika Sharma; Kameshwar Sahani
Alifmatika (Jurnal pendidikan dan pembelajaran Matematika) Vol 6 No 1 (2024): Alifmatika - June
Publisher : Fakultas Tarbiyah Universitas Ibrahimy

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35316/alifmatika.2024.v6i1.42-50

Abstract

Through the perspective of differential equations, the report "Rocket Science Unveiled" explores the amazing invention of rocket propulsion. In order to study, comprehend, and forecast the behavior of rocket engines, differential equations are essential. In order to better understand and analyze this intricate anomaly, the report aims to investigate the underlying mathematics of rocket propulsion and how differential equations work. We apply the differential equation to clarify the fuel consumption and thrust generation rates. In addition, we utilize Newton's rule of motion to explain the relationship among thrust, mass, and acceleration. Working on this study allowed us to discover the anticipated outcome for both position location and spacecraft position determination. For iterative operations, we used Euler's approach because the analytical calculation of differential equations is complicated, we used Euler's method for iterative operations. Knowing the rocket's initial or previous value allows us to locate or establish its placements with ease.
Mathematical input-output analysis for economic impact assessment: A case study on local government's bridge construction project Suresh Kumar Sahani; Binod Kumar Sah; Kameshwar Sahani; Rahul Das; Ashok Kumar Mahato
Alifmatika (Jurnal pendidikan dan pembelajaran Matematika) Vol 6 No 2 (2024): Alifmatika - December
Publisher : Fakultas Tarbiyah Universitas Ibrahimy

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35316/alifmatika.2024.v6i2.279-292

Abstract

This paper explores the application of Input-Output Analysis (IOA) in evaluating the economic impacts of infrastructure projects, emphasizing its mathematical foundations. Using a hypothetical case study, the paper demonstrates how IOA, as a mathematics-based analytical tool, can help local governments assess the broader economic implications of building a new bridge. By incorporating direct effects, such as construction costs and job creation, and induced effects, such as local worker spending, the analysis reveals the total economic impact of the project. The method of research uses secondary data, such as government reports, regional economic indicators, and previous infrastructure evaluations, to estimate changes in employment, income, and value-added output. The findings highlight how IOA can provide valuable insights for policymakers to make informed decisions about public investments that stimulate local economies.
Co-Authors Aditya Jha Anshuman Jha Ashok Kumar Mahato Binod Kumar Sah Kritika Sharma Pravesh Sharma Rahul Das Suresh Kumar Sahani Suresh Kumar Sahani Suresh Kumar Sahani