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Numerical solution of a free boundary value problem for parabolic equations. (English) Zbl 0302.65076

MSC:

65N06 Finite difference methods for boundary value problems involving PDEs
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
65M15 Error bounds for initial value and initial-boundary value problems involving PDEs
76B10 Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
65N15 Error bounds for boundary value problems involving PDEs
Full Text: DOI

References:

[1] DOI: 10.1016/0021-9991(73)90102-2 · Zbl 0264.65054 · doi:10.1016/0021-9991(73)90102-2
[2] DOI: 10.1215/S0012-7094-55-02262-6 · Zbl 0066.10503 · doi:10.1215/S0012-7094-55-02262-6
[3] Evans G.W., Quart Appl. Math 8 pp 312– (1955)
[4] DOI: 10.1007/BF02392014 · Zbl 0182.43102 · doi:10.1007/BF02392014
[5] Isaacson E., Analysis of numerical methods (1966) · Zbl 0168.13101
[6] Muskat M., physics 5 (1934)
[7] DOI: 10.1137/0115045 · Zbl 0148.35104 · doi:10.1137/0115045
[8] Rubinstein L.I., The Stefan Problem (1967)
[9] Scheidgger A.E., The physics of flow through porous media (1960)
[10] Trench W.E., Journal of SIAM 7 pp 184– (1959)
[11] Varga R.S., Matrix iterative analysis (1962) · Zbl 0133.08602
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