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Journey to the cosmos: Navigating stellar evolution with differential equations

Authors :
Anshuman Jha
Suresh Kumar Sahani
Aditya Jha
Kameshwar Sahani
Source :
Alifmatika, Vol 5, Iss 2, Pp 282-297 (2023)
Publication Year :
2023
Publisher :
Fakultas Tarbiyah Universitas Ibrahimy, 2023.

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.

Details

Language :
English, Indonesian
ISSN :
27156095 and 27156109
Volume :
5
Issue :
2
Database :
Directory of Open Access Journals
Journal :
Alifmatika
Publication Type :
Academic Journal
Accession number :
edsdoj.076b306dac504c8a98758a7892de1f02
Document Type :
article
Full Text :
https://doi.org/10.35316/alifmatika.2023.v5i2.282-297