Special functions and heat polynomials for the solution of free boundary problems

2018

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DOI 10.1063/1.5049041
Data confidence 70 medium
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Abstract

The method of special functions and heat polynomials for the solution of problems for the heat equation in domains with moving boundaries is developed for the generalized and axisymmetric heat equations. The corresponding generating and associated functions are introduced. Examples of application of this method for the solution of some problems are presented.