Abstract

A numerical method is described for the solution of the following quench front problem: Find u(x, y) and ν such that ˩˨ ˩˨x k(u) ˩˨u ˩˨x +vq(u) ˩˨u ˩˨x + ˩˨ ˩˨y k(u)=0 , ˩˨u ˩˨y y=0 =f(u) , ˩˨u ˩˨y y=1 =0 , u(−∫,y)=0 , u(+∫,y)=1 , The method is based on the idea of isotherm migration. The resulting problem is an eigenvalue problem for a system of nonlinear Cauchy-Riemann equations. The method is very efficient in comparison with previous methods for this problem.

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