Ray Methods for Free Boundary Problems

نویسندگان

  • J. A. ADDISON
  • S. D. HOWISON
چکیده

We discuss the use of the WKB ansatz in a variety of parabolic problems involving a small parameter. We analyse the Stefan problem for small latent heat, the Black–Scholes problem for an American put option, and some nonlinear diffusion equations, in each case constructing an asymptotic solution by the use of ray methods.

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تاریخ انتشار 2005