Gulen, Seda; Ozis, Turgut Solution of a moving boundary problem for soybean hydration by numerical approximation. (English) Zbl 07201326 Int. J. Nonlinear Sci. Numer. Simul. 21, No. 2, 115-122 (2020). MSC: 65M99 × Cite Format Result Cite Review PDF Full Text: DOI
Rømcke, Olav; Kristoffersen, Reidar A projection method for convection-dominated phase transitions. (English) Zbl 1464.80012 Appl. Math. Modelling 70, 18-30 (2019). MSC: 80A22 76R10 76S05 × Cite Format Result Cite Review PDF Full Text: DOI
Safdar, Shakeel; Pinkerton, Andrew J.; Li, Lin; Sheikh, Mohammed A.; Withers, Philip J. An anisotropic enhanced thermal conductivity approach for modelling laser melt pools for Ni-base super alloys. (English) Zbl 1351.74019 Appl. Math. Modelling 37, No. 3, 1187-1195 (2013). MSC: 74F05 × Cite Format Result Cite Review PDF Full Text: DOI
Das, S.; Rajeev An approximate analytical solution of one-dimensional phase change problems in a finite domain. (English) Zbl 1225.80006 Appl. Math. Comput. 217, No. 13, 6040-6046 (2011). Reviewer: Jerzy Gawinecki (Warszawa) MSC: 80A22 × Cite Format Result Cite Review PDF Full Text: DOI
Ahmed, S. G.; Meshrif, S. A. A new numerical algorithm for 2D moving boundary problems using a boundary element method. (English) Zbl 1189.65217 Comput. Math. Appl. 58, No. 7, 1302-1308 (2009). MSC: 65M38 × Cite Format Result Cite Review PDF Full Text: DOI
Asaithambi, Asai Numerical solution of Stefan problems using automatic differentiation. (English) Zbl 1122.65090 Appl. Math. Comput. 189, No. 1, 943-948 (2007). MSC: 65M70 35K05 80A22 35R35 × Cite Format Result Cite Review PDF Full Text: DOI
Dursunkaya, Z.; Nair, S. Accuracy of the two-iteration spectral method for phase change problems. (English) Zbl 1375.80017 Appl. Math. Modelling 30, No. 12, 1515-1524 (2006). MSC: 80M22 80A22 × Cite Format Result Cite Review PDF Full Text: DOI
Berezovsky, Arnold; Kersner, Robert; Peletier, Bert On a Stefan-type model arising in ecology. (English) Zbl 1118.35077 Appl. Math. Lett. 19, No. 8, 699-705 (2006). MSC: 35R35 92D40 35K57 × Cite Format Result Cite Review PDF Full Text: DOI
Kutluay, S. Numerical schemes for one-dimensional Stefan-like problems with a forcing term. (English) Zbl 1082.65569 Appl. Math. Comput. 168, No. 2, 1159-1168 (2005). MSC: 65M06 35K05 80A22 65M12 35R35 80M20 × Cite Format Result Cite Review PDF Full Text: DOI
Alobaidi, Ghada; Mallier, Roland; Deakin, A. Stanley Laplace transforms and installment options. (English) Zbl 1102.91042 Math. Models Methods Appl. Sci. 14, No. 8, 1167-1189 (2004). MSC: 91B28 44A10 × Cite Format Result Cite Review PDF Full Text: DOI
Kutluay, S.; Esen, A. An isotherm migration formulation for one-phase Stefan problem with a time dependent Neumann condition. (English) Zbl 1038.65076 Appl. Math. Comput. 150, No. 1, 59-67 (2004). MSC: 65M06 35K05 35R35 80A22 65M12 80M20 × Cite Format Result Cite Review PDF Full Text: DOI
Mackenzie, J. A.; Robertson, M. L. The numerical solution of one-dimensional phase change problems using an adaptive moving mesh method. (English) Zbl 0965.65105 J. Comput. Phys. 161, No. 2, 537-557 (2000). Reviewer: Petr Prikryl MSC: 65M06 35K55 35R35 80A22 65M50 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ledder, Glenn An integral equation for the planar ablation problem. (English) Zbl 0907.76093 Int. J. Eng. Sci. 35, No. 9, 819-828 (1997). MSC: 76T99 45D05 × Cite Format Result Cite Review PDF Full Text: DOI
Nedoma, J. On a coupled Stefan-like problem in thermo-visco-plastic rheology. (English) Zbl 0897.76006 J. Comput. Appl. Math. 84, No. 1, 45-80 (1997). Reviewer: H.K.Verma (Ludhiana) MSC: 76A99 86A60 80A22 74C10 × Cite Format Result Cite Review PDF Full Text: DOI
Asaithambi, N. S. A variable time step Galerkin method for a one-dimensional Stefan problem. (English) Zbl 0870.65130 Appl. Math. Comput. 81, No. 2-3, 189-200 (1997). Reviewer: Michael Sever (Jerusalem) MSC: 65Z05 65M20 35K05 80A22 35R35 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Andreaus, Ugo; Dell’Isola, Francesco On thermokinematic analysis of pipe shaping in cast ingots: A numerical simulation via FDM. (English) Zbl 0900.76361 Int. J. Eng. Sci. 34, No. 12, 1349-1367 (1996). MSC: 76M20 76T99 80A22 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Asaithambi, N. S. A Galerkin method for Stefan problems. (English) Zbl 0768.65077 Appl. Math. Comput. 52, No. 2-3, 239-250 (1992). Reviewer: G.Hedstrom (Livermore) MSC: 65Z05 65M60 80A22 35K05 35R35 × Cite Format Result Cite Review PDF Full Text: DOI
Makky, S. M.; Ibrahim, A. Application of a new variational technique for the study of seepage as a free boundary problem. (English) Zbl 0722.76067 Math. Comput. Modelling 14, 781-784 (1990). MSC: 76M30 76S05 49S05 × Cite Format Result Cite Review PDF Full Text: DOI
Andrushkiw, R. I. Mathematical modeling of freezing front propagation in biological tissue. (English) Zbl 0715.92007 Math. Comput. Modelling 13, No. 10, 1-9 (1990). MSC: 92C30 80A20 80A22 × Cite Format Result Cite Review PDF Full Text: DOI
Howells, I.; Landman, K. A.; Panjkov, A.; Sirakoff, C.; White, L. R. Time-dependent batch settling of flocculated suspensions. (English) Zbl 0702.76106 Appl. Math. Modelling 14, No. 2, 77-86 (1990). MSC: 76R99 80A20 × Cite Format Result Cite Review PDF Full Text: DOI
Stampella, Mirta Beatriz; Tarzia, Domingo Alberto Determination of one or two unknown thermal coefficients of a semi- infinite material through a two-phase Stefan problem. (English) Zbl 0708.73002 Int. J. Eng. Sci. 27, No. 11, 1407-1419 (1989). MSC: 74A15 35K05 35R35 80A22 × Cite Format Result Cite Review PDF Full Text: DOI
Gilbert, R. P.; Magnanini, R. A moving boundary problem associated with flow through a porous medium. (English) Zbl 0657.76077 Nonlinear Anal., Theory Methods Appl. 12, No. 2, 109-119 (1988). Reviewer: G.Pasa MSC: 76S05 35Q99 × Cite Format Result Cite Review PDF Full Text: DOI
Davies, T. W. Transient conduction in a sphere with counteracting radiative and convective heat transfer at the surface. (English) Zbl 0649.76041 Appl. Math. Modelling 12, No. 4, 429-433 (1988). MSC: 76L05 80A20 80A32 × Cite Format Result Cite Review PDF Full Text: DOI
Arve, B. H.; Liapis, A. I. Oxygen tension profiles in tumors predicted by a diffusion with absorption model involving a moving free boundary. (English) Zbl 0644.92004 Math. Comput. Modelling 10, No. 3, 159-174 (1988). MSC: 92C50 35R35 92-08 35Q99 65N35 × Cite Format Result Cite Review PDF Full Text: DOI
Storti, Mario; Crivelli, Luis A.; Idelsohn, Sergio R. An efficient tangent scheme for solving phase-change problems. (English) Zbl 0631.73100 Comput. Methods Appl. Mech. Eng. 66, No. 1, 65-86 (1988). MSC: 74A15 74S99 × Cite Format Result Cite Review PDF Full Text: DOI
Gupta, Radhey S.; Banik, N. C. Constrained integral method for solving moving boundary problems. (English) Zbl 0619.65125 Comput. Methods Appl. Mech. Eng. 67, No. 2, 211-221 (1988). MSC: 65Z05 65N35 35K05 80A17 35R35 × Cite Format Result Cite Review PDF Full Text: DOI
Gupta, S. C. Melting of a long cylinder due to an axisymmetric hot spot. (English) Zbl 0655.73059 Proc. Indian Acad. Sci., Math. Sci. 96, 87-102 (1987). MSC: 74A15 76T99 35Q99 35R35 80A20 × Cite Format Result Cite Review PDF Full Text: DOI
Gupta, S. C. Heat transfer with solid liquid phase change initiating at a point in a semi-infinite mold. (English) Zbl 0601.73119 Int. J. Eng. Sci. 25, 133-144 (1987). MSC: 74A15 80A20 76T99 × Cite Format Result Cite Review PDF Full Text: DOI
Hill, James M.; Hart, Vincent G. The Stefan problem in nonlinear heat conduction. (English) Zbl 0624.73130 Z. Angew. Math. Phys. 37, 206-229 (1986). MSC: 74A15 65H10 35R35 35K05 × Cite Format Result Cite Review PDF Full Text: DOI
Gupta, S. C. Axisymmetric melting of a long cylinder due to an infinite flux. (English) Zbl 0621.35010 Proc. Indian Acad. Sci., Math. Sci. 95, 1-12 (1986). MSC: 35B60 35R35 80A20 × Cite Format Result Cite Review PDF Full Text: DOI
Davis, G. B.; Doherty, G.; Ritchie, A. I. M. A model of oxidation in pyritic mine wastes. II: Comparison of numerical and approximate solutions. (English) Zbl 0608.65085 Appl. Math. Modelling 10, 323-329 (1986). MSC: 65Z05 65N22 35K05 35R35 80A17 × Cite Format Result Cite Review PDF Full Text: DOI
Hunt, Roland The numerical solution of elliptic free boundary problems using multigrid techniques. (English) Zbl 0595.65128 J. Comput. Phys. 65, 448-461 (1986). Reviewer: V.Korneev MSC: 65Z05 65N22 65F10 65H10 35J25 35R35 × Cite Format Result Cite Review PDF Full Text: DOI
Dewynne, J. N.; Hill, J. M. Integral formulations and bounds for two phase Stefan problems initially not at their fusion temperature. (English) Zbl 0594.73003 Acta Mech. 58, 201-228 (1986). Reviewer: J.L.Nowinski MSC: 74A15 80A10 35R35 35K05 × Cite Format Result Cite Review PDF Full Text: DOI
Sloan, D. M. Numerical solution of a free boundary problem by continuation. (English) Zbl 0589.65081 J. Comput. Appl. Math. 14, 279-288 (1986). Reviewer: S.Christiansen MSC: 65Z05 35R35 78A99 65N22 65H10 × Cite Format Result Cite Review PDF Full Text: DOI
Davis, Michael; Kapadia, Phiroze; Dowden, John Solution of a Stefan problem in the theory of laser welding by the method of lines. (English) Zbl 0591.65087 J. Comput. Phys. 60, 534-548 (1985). Reviewer: K.-H.Hoffmann MSC: 65Z05 65N40 35R35 35Q30 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Vuik, C.; Cuvelier, C. Numerical solution of an etching problem. (English) Zbl 0586.65085 J. Comput. Phys. 59, 247-263 (1985). MSC: 65Z05 65N22 35K05 80A30 49J40 65K10 × Cite Format Result Cite Review PDF Full Text: DOI
Gupta, S. C. Two-dimensional solidification in a cylindrical mold with imperfect mold contact. (English) Zbl 0576.73120 Int. J. Eng. Sci. 23, 901-913 (1985). MSC: 74A15 74L10 74A55 74M15 × Cite Format Result Cite Review PDF Full Text: DOI
Meyer, Gunter H. Free boundary problems with nonlinear source terms. (English) Zbl 0539.65083 Numer. Math. 43, 463-483 (1984). Reviewer: Isaac Yevzerov (Kyïv) MSC: 65N40 35R35 35J05 35J65 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Meek, P. C.; Norbury, J. A two-stage, two-level finite difference scheme for moving boundary problems. (English) Zbl 0535.65068 Comput. Methods Appl. Mech. Eng. 46, 137-149 (1984). MSC: 65N12 65N06 35R35 35K60 × Cite Format Result Cite Review PDF Full Text: DOI
Luckhaus, Stephan; Visintin, Augusto Phase transition in multicomponent systems. (English) Zbl 0525.35012 Manuscr. Math. 43, 261-288 (1983). MSC: 35D05 82B26 35B45 82B35 35A30 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Gupta, Radhey S.; Kumar, Dhirendra Variable time step methods for the dissolution of a gas bubble in a liquid. (English) Zbl 0524.76093 Comput. Fluids 11, 341-349 (1983). MSC: 76T99 76M99 × Cite Format Result Cite Review PDF Full Text: DOI
DiBenedetto, Emmanuele; Showalter, R. E. A free-boundary problem for a degenerate parabolic system. (English) Zbl 0476.35083 J. Differ. Equations 50, 1-19 (1983). MSC: 35R35 35K65 35D05 34G20 35D10 47H05 35K60 35K50 × Cite Format Result Cite Review PDF Full Text: DOI
Showalter, R. E. Mathematical formulation of the Stefan problem. (English) Zbl 0506.76103 Int. J. Eng. Sci. 20, 909-912 (1982). MSC: 76T99 × Cite Format Result Cite Review PDF Full Text: DOI
Tao, L. N. The Cauchy-Stefan problem. (English) Zbl 0506.73106 Acta Mech. 45, 49-64 (1982). MSC: 74A15 35K05 35R35 × Cite Format Result Cite Review PDF Full Text: DOI
Morland, L. W. A fixed domain method for diffusion with a moving boundary. (English) Zbl 0486.65058 J. Eng. Math. 16, 259-269 (1982). MSC: 65N06 35K05 35R35 80A20 × Cite Format Result Cite Review PDF Full Text: DOI
Gupta, Radhey S.; Kumar, Dhirendra Complete numerical solution of the oxygen diffusion problem involving a moving boundary. (English) Zbl 0469.65087 Comput. Methods Appl. Mech. Eng. 29, 233-239 (1981). MSC: 65Z05 76Z05 92Cxx 35K05 35R35 × Cite Format Result Cite Review PDF Full Text: DOI
Bonnerot, R.; Jamet, P. A conservative finite element method for one-dimensional Stefan problems with appearing and disappearing phases. (English) Zbl 0466.65071 J. Comput. Phys. 41, 357-388 (1981). MSC: 65Z05 65N30 35K05 35R35 80A17 × Cite Format Result Cite Review PDF Full Text: DOI
Gupta, S. C. Two-dimensional heat conduction with phase change in a semi-infinite mould. (English) Zbl 0452.73099 Int. J. Eng. Sci. 19, 137-146 (1981). MSC: 74A15 80A20 × Cite Format Result Cite Review PDF Full Text: DOI
White, R. E. A semilinear boundary value problem with nonincreasing nonlinear terms. (English) Zbl 0454.35037 Nonlinear Anal., Theory Methods Appl. 4, 123-137 (1980). MSC: 35J65 65M99 65N99 35B50 35R05 47H07 × Cite Format Result Cite Review PDF Full Text: DOI
Hame, W.; Müller, U. Freie Konvektion in Schmelzen mit inneren Wärmequellen und verfestigten Rändern. (German) Zbl 0448.76035 Acta Mech. 35, 83-107 (1980). MSC: 76E15 76E20 76R10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Gupta, S. C.; Lahiri, A. K. Heat conduction with a phase change in a cylindrical mould. (English) Zbl 0395.73005 Int. J. Engin. Sci. 17, 401-407 (1979). MSC: 74A99 80A20 45K05 × Cite Format Result Cite Review PDF Full Text: DOI
Meyer, Gunter H. The numerical solution of Stefan problems with front-tracking and smoothing methods. (English) Zbl 0407.65041 Appl. Math. Comput. 4, 283-306 (1978). MSC: 65M20 35K05 × Cite Format Result Cite Review PDF Full Text: DOI
Jerome, Joseph W. Nonlinear equations of evolution and a generalized Stefan problem. (English) Zbl 0444.35048 J. Differ. Equations 26, 240-261 (1977). MSC: 35G10 35K25 35K05 34G20 58D25 × Cite Format Result Cite Review PDF Full Text: DOI
Jerome, Joseph W. Nonlinear equations of evolution and a generalized Stefan problem. (English) Zbl 0411.35054 J. Differ. Equations 26, 240-261 (1977). MSC: 35G10 35K25 35K55 65M15 65M99 65N99 35B50 × Cite Format Result Cite Review PDF Full Text: DOI
Rivard, J. B.; Scott, M. R. The two-phase, three-zone melting problem-response to pulse heating. (English) Zbl 0353.76071 Appl. Math. Comput. 2, 173-187 (1976). MSC: 76T99 × Cite Format Result Cite Review PDF Full Text: DOI