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Subject: Integral Error Function ×

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    ItemOpen Access
    THE SOLUTION OF PROBLEMS WITH DISCONTINUOUS COEFFICIENTS OF THERMAL CONDUCTIVITY BY THE INTEGRAL OF THE ERROR FUNCTION
    (faculty of engineering and natural sciences, 2013) Kospanova G.
    The present paper attempts to investigate a new effective method of solving problems of thermal conductivity, new methods of solving parabolic equations with moving boundaries. In this paper it was tried to show the use of interdisciplinary connection оп the example of Mathematical Physics course. Using Integral Error Function a new effective method was developed that positively effects on mathematical achievement of students. Approximate and analytical solutions of the boundary-value problems is found using Integral Error Functions and their properties or by IEF method, which enable to solve wide range of heat equations with fixed and moving boundaries. Analytical solution of heat equation with discontinuous coefficients for the thermal conductivity by IEF method is found in this term paper.
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    ItemOpen 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.