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formulation of the parabolic or elliptic moving boundary problem. Solution of ... leads to the moving boundary problems which takes place in this case as well.. In all cases, two conditions are wanted on the free or moving boundary, one to describe the ... was interested in the melting of the polar ice cap Crank (1987).. To distinct the case of a moving boundary (associated with a time-dependant ... study of this type of problem, since then free boundary problems are called Ste- ... The example given in equation (3.1) with the Crank-Nicholson method is.. PDF | Purpose – To present a novel moving boundary problem related to the ... Crank, J. (1984), Free and Moving Boundary Problems, Clarendon Press, Oxford.. SOLUTION OF FREE AND MOVING BOUNDARY ... Section 7 - Free boundary problems. 41 ... see Furzeland (1974), Crank and Fox in Ockendon (1975), Meyer.. Free and Moving Boundary Problems. By J. CRANK. Clarendon, Oxford, 1984. 425 pp. £45.00. - Volume 158 - A. B. Tayler.

Key Words: Stefan Problem; Crank-Nicolson method; Moving Boundary; Fi- ... The thermal equations with moving ends give origin to several physical problems, ... Caffarelli,L. A.; Vázquez J. L.: A free-boundary problem for the heat equation .... Crank J.Free and Moving Boundary Problems. Clarendon Press, London (1984). Google Scholar. 3. Evans G.W., Isaacson E., MacDonald J.K.L.Stefan-like .... New York: Oxford University Press, 1984 The moving boundaries occur mostly in heat-flow problems with phase changes and in certain .... Bisection method is used to solve a moving boundary problem. ... The procedure of the paper is useful in other moving boundary problems of heat and mass transfer, ... [2] Crank, J, Free and moving boundary problems, Oxford University.. parabolic moving boundary problems to free boundary problems governed ... Crank [7], or the one by Tarzia [27], are essentially devoted to the .... Advances in Computational Mathematics 6 (1996) 281-293 281 The role of the Crank-Gupta model in the theory of free and moving boundary problems J. R. .... other research. Keywords LOD method, Moving boundary problems, Central dif- ... successive, iteratively computed positions of the free bound- ary. Relaxations ... Crank and Gupta [17] and in light of the transformation, we can write equation .... John Crank is at Brunel University. Product details. Series: Oxford Science Publications; Paperback: 440 pages; Publisher: .... of phase and initial and moving boundary conditions, and need to be solved in a ... A wide range of numerical methods applied to Stefan problems has been ... [2] J. Crank, Free and Moving Boundary Problems, Clarendon Press, Oxford, 1984.. Crank, Free and Moving Boundary Problems, Oxford University Press, 1984. 6] B. A. Finlayson, Numerical Methods for Problems with Moving Fronts, Ravenna .... Free boundary problems (FBPs) involving diffusional and convective ... as opposed to moving boundary problems which are parabolic and time-dependent. ... [5] J. Crank, Free and Moving Boundary Problems, The Clarendon .... Crank,Free and Moving Boundary Problems (Oxford University Press, Oxford, 1984). Google Scholar. [4]. J. Crank and R. S. Gupta, A moving boundary problem .... Shock wave. FM BP induced by a sudden change in physical properties. Problem in Solid Mechanics. Problems in Heat Conduction. Problem in .... Crank. J. Free and moving boundary value problems, Oxford Science Publications, 1984. Google Scholar. [6]. G.B. Davis, J ...

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