Abstract
The solution is obtained and validated by an existence and uniqueness theorem for the following nonlinear boundary value problem which was proposed in 1974 by Cho and Sunderland to represent a Stefan problem with a nonlinear temperature‐dependent thermal conductivity on the semi‐infinite line . The modified error function of two parameters is introduced to represent the solution of the problem above, and some properties of the function are established. This generalizes the results obtained in earlier studies.
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