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An Analysis of the One-Phase Stefan Problem with Variable Thermal Coefficients of Order p

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Approximate solutions are obtained in implicit forms for the following general form of the nonlinear Stefan problem ddx(1+δ1yp)dydx+2x(1+δ2yp)dydx=4Steβ(x),00 is a solution to the nonlinear equation y′(λ)=−2λSte, where δi>−1,i=1,2,p>0, and Ste… Click to show full abstract

Approximate solutions are obtained in implicit forms for the following general form of the nonlinear Stefan problem ddx(1+δ1yp)dydx+2x(1+δ2yp)dydx=4Steβ(x),00 is a solution to the nonlinear equation y′(λ)=−2λSte, where δi>−1,i=1,2,p>0, and Ste is the Stefan number, which represents a phase-change problem with a nonlinear temperature-dependent thermal parameters (i.e., thermal conductivity and specific heat) on (0,λ).

Keywords: problem; one phase; analysis one; stefan; phase stefan; stefan problem

Journal Title: Axioms
Year Published: 2023

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