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

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