Solution of parabolic free boundary problems using transmuted heat polynomials
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cs.NAmath-phmath.MPmath.NA
keywords
boundaryequationfreeheatmethodpolynomialsproblemssystem
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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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