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- Analytical Solution of Newton\'s Law of Cooling Equation via Kashuri Fundo Transform
Analytical Solution of Newton\'s Law of Cooling Equation via Kashuri Fundo Transform
Authors : Bilge Peker, Fatma Aybike Çuha, Haldun Alpaslan Peker
Pages : 10-20
Doi:10.47112/neufmbd.2024.29
View : 83 | Download : 104
Publication Date : 2024-04-30
Article Type : Research
Abstract :As in the past, understanding, correctly interpreting and modeling physical phenomena requires the use of advanced mathematical methods. In this context, the solution of heat transfer problems such as Newton\'s cooling law is obtained accurately, reliably and easily without the need for complex calculations with powerful mathematical tools such as integral transform. Newton\'s law of cooling expresses how the temperature of a body interacts with the environmental temperature and changes over time by differential equation models. These equations, expressing the complex relationships between variables and rates of change, provides accurate interpretations of the behavior of physical systems by allowing physicist formulating precise mathematical models. Calculations to obtain solutions of differential equations can be more complex than calculations for algebraic equations. Therefore, different methods have been used to get the solutions of these equations. In this article, we present the solution of Newton\'s cooling law with Kashuri Fundo transformation, which is a type of integral transformations, and that this approach is an effective and reliable method that can be used to reach solutions of different mathematical models in the fields of physics, biochemistry, economics, finance, engineering, etc.Keywords : İntegral Dönüşümü, Kashuri Fundo Dönüşümü, Newton’un Soğuma Yasası, Diferensiyel Denklemler.