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arXiv · 1706.07100

Solution of parabolic free boundary problems using transmuted heat polynomials

Igor V. Kravchenko·Vladislav V. Kravchenko·Sergii M. Torba
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Abstract

A numerical method for free boundary problems for the equation \[ u_{xx}-q(x)u=u_t \] is proposed. The method is based on recent results from transmutation operators theory allowing one to construct efficiently a complete system of solutions for this equation generalizing the system of heat polynomials. The corresponding implementation algorithm is presented.

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Igor V. Kravchenko, Vladislav V. Kravchenko, Sergii M. Torba. 2017-06-21. Solution of parabolic free boundary problems using transmuted heat polynomials. https://arxiv.org/abs/1706.07100

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