• A NEW METHOD FOR SINGLE PHASE 1-D STEFAN PROBLEM

P. Kanakadurga Devi*, V. G. Naidu, G. Viswanath Reddy

Abstract


Starting the solution for moving boundary value problems has been a difficult proposition and this difficulty led to the development of a variety of approximate methods. High order accurate initial step sizes with the help of Green’s theorem of vector calculus have been developed in the paper. The method handles the problem with Dirichlet’s condition. The iterative scheme to find the subsequent time step sizes for a given space step is developed with assurance of convergence.


Keywords


1-D Stefan problems, variable time step, Green’s theorem, interface.

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