Browsing by Author "Yryskeldi Zh."
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Item Open Access Method of generalized Laguerre polynomials in problems with a moving boundary for the generalized heat equation(Faculty of Engineering and Natural Sciences, 2019) Yryskeldi Zh.This thesis is about solving Heat equation. exactly. generalized heat equation. which. solved using Laguerre polvnomials. The heat equation is an important partial differential equation (PDE) which describes the distribution of heat (or variation in temperature) in a given region over time It considers heat transferring in electrical contact from one side to another. Simple examples to the Generalized Heat equation are the melting of ice and the freezing of water. Solving the Heat equation, known problem in numerous industrial and technological applications. such as the manufacture of steel. ablation of heat shields. contact melting in thermal storage systems. ice accretion on aircraft. evaporation of water. Gencralized Heat equation with moving boundary have been solved by Laplace Transform. My aim is to solve the same equation by Laguerre polynomials obtained from heat polynomials.