In this paper the single-phase of Stephan problem will
be used taking the Continue method and for every point the answer of the
problem will be calculated as definite expressions. It is possible to use this
answer as the approximate answer.
R . Courant and D . Hilbert, Hilbert, Methods of mathematical physics ; Interscience publishers ; volume II,(1962)
V.S.Vladimirov, Equations of mathematical physics ; Mir publishers, Moscow,,(1984)
A.N.Tikhonov and A.A.Samarskii, Equations of mathematical physics ; Pergamon press ,Oxford, (1968)
A.V.Bitsadze, value problems for second-order elliptic equation,North-Hollond,(1968)
T. Y.V.Egorov and V.A.Condrat’ev, "Mat.Sbor", 78,148-179,(1969)
N.Aliev and M.Jahanshahi, Sufficent conditions for Reduction of the BVP including a mixed P.D.E with nonlinear boundary conditions to fredholm integral equation , Int.J.Math.Educ.Tech.Scie,28(3),(1997).
G.Kavei and N.Aliev, An analytical method to the solution of the time dependent schrodinger equation using half Cylinder space system-I,Bulletin of pure and Applied sciences 16E(2),253-263,(1997)
I.G.Petrovski, on partial differential equations, Wiley-Interscience New york ,(1955).
S.G.Mikhlin, Mathematical physics , an advanced course, North-Holland Amsterdam ,(1970)
A.Fridman and Hub, The Stefan problem for a hyperbolic heat equation, J.Math.Anal.Appl ,138,249-279,(1989).
R.E.Showalter and N.J.Walkington, A hyperbolic stefan problem, Quarter.Appl.Math ,XLV,769-781,(1987).
L.M.Desocio and G.Gualtieri, A hyperbolic stefan problem, Quarter.Appl.Math,253-259,(1983).
N.S.Koshlyakov, E.B.Gliner and M.M.Smirnov, Partial differential equation of mathematical physics, North-Holland Amsterdam,(1964).
Year 2016,
Volume: 4 Issue: 3, 174 - 179, 30.09.2016
R . Courant and D . Hilbert, Hilbert, Methods of mathematical physics ; Interscience publishers ; volume II,(1962)
V.S.Vladimirov, Equations of mathematical physics ; Mir publishers, Moscow,,(1984)
A.N.Tikhonov and A.A.Samarskii, Equations of mathematical physics ; Pergamon press ,Oxford, (1968)
A.V.Bitsadze, value problems for second-order elliptic equation,North-Hollond,(1968)
T. Y.V.Egorov and V.A.Condrat’ev, "Mat.Sbor", 78,148-179,(1969)
N.Aliev and M.Jahanshahi, Sufficent conditions for Reduction of the BVP including a mixed P.D.E with nonlinear boundary conditions to fredholm integral equation , Int.J.Math.Educ.Tech.Scie,28(3),(1997).
G.Kavei and N.Aliev, An analytical method to the solution of the time dependent schrodinger equation using half Cylinder space system-I,Bulletin of pure and Applied sciences 16E(2),253-263,(1997)
I.G.Petrovski, on partial differential equations, Wiley-Interscience New york ,(1955).
S.G.Mikhlin, Mathematical physics , an advanced course, North-Holland Amsterdam ,(1970)
A.Fridman and Hub, The Stefan problem for a hyperbolic heat equation, J.Math.Anal.Appl ,138,249-279,(1989).
R.E.Showalter and N.J.Walkington, A hyperbolic stefan problem, Quarter.Appl.Math ,XLV,769-781,(1987).
L.M.Desocio and G.Gualtieri, A hyperbolic stefan problem, Quarter.Appl.Math,253-259,(1983).
N.S.Koshlyakov, E.B.Gliner and M.M.Smirnov, Partial differential equation of mathematical physics, North-Holland Amsterdam,(1964).
Najafi, R., Aliyev, N., & Celik, E. (2016). On the solution of Stephan inverse problems. New Trends in Mathematical Sciences, 4(3), 174-179.
AMA
Najafi R, Aliyev N, Celik E. On the solution of Stephan inverse problems. New Trends in Mathematical Sciences. September 2016;4(3):174-179.
Chicago
Najafi, Ramin, Nihan Aliyev, and Ercan Celik. “On the Solution of Stephan Inverse Problems”. New Trends in Mathematical Sciences 4, no. 3 (September 2016): 174-79.
EndNote
Najafi R, Aliyev N, Celik E (September 1, 2016) On the solution of Stephan inverse problems. New Trends in Mathematical Sciences 4 3 174–179.
IEEE
R. Najafi, N. Aliyev, and E. Celik, “On the solution of Stephan inverse problems”, New Trends in Mathematical Sciences, vol. 4, no. 3, pp. 174–179, 2016.
ISNAD
Najafi, Ramin et al. “On the Solution of Stephan Inverse Problems”. New Trends in Mathematical Sciences 4/3 (September 2016), 174-179.
JAMA
Najafi R, Aliyev N, Celik E. On the solution of Stephan inverse problems. New Trends in Mathematical Sciences. 2016;4:174–179.
MLA
Najafi, Ramin et al. “On the Solution of Stephan Inverse Problems”. New Trends in Mathematical Sciences, vol. 4, no. 3, 2016, pp. 174-9.
Vancouver
Najafi R, Aliyev N, Celik E. On the solution of Stephan inverse problems. New Trends in Mathematical Sciences. 2016;4(3):174-9.