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  1. 1 Li X.

  2. 1 Wang S.

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Two methods to solve a fractional single phase moving boundary problem

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Li X., Wang S., Zhao M.
Open Physics
|
2013
|
vol. 11
|
issue 10
1387-1391
EN
A moving boundary problem of a melting problem is considered in this study. A mathematical model using the Caputo fractional derivative heat equation is proposed in the paper. Since moving boundary problems are difficult to solve for the exact solution, two methods are presented to approximate the evolution of the temperature. To simplify the computation, a similarity variable is adopted in order to reduce the partial differential equations to ordinary ones.
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