A numerical method for the calculation of traveling wave solutions of a quench front problem,☆☆

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Abstract

A numerical method is described for the solution of the following quench front problem: Find u(x, y) and ν such that ˩˨˩˨xk(u)˩˨u˩˨x+vq(u)˩˨u˩˨x+˩˨˩˨yk(u)=0, ˩˨u˩˨yy=0=f(u), ˩˨u˩˨yy=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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Cited by (1)

This work was supported by the United States Department of Energy and the United States Nuclear Regulatory Commission.

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The U.S. Government's right to retain a nonexclusive royalty-free license in and to the copyright covering this paper, for governmental purposes, is acknowledged.

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