THE SOLUTION OF PROBLEMS WITH DISCONTINUOUS COEFFICIENTS OF THERMAL CONDUCTIVITY BY THE INTEGRAL OF THE ERROR FUNCTION

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Date

2013

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Volume Title

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faculty of engineering and natural sciences

Abstract

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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Keywords

IEF method, Boundary value problem, Integral Error Function

Citation

Kospanova G / THE SOLUTION OF PROBLEMS WITH DISCONTINUOUS COEFFICIENTS OF THERMAL CONDUCTIVITY BY THE INTEGRAL OF THE ERROR FUNCTION / 6M060100 — Scientific Mathematics / 2013

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