On the solution of Stephan inverse problems

Yıl 2016, Cilt: 4 Sayı: 3, 174 - 179, 30.09.2016

Ramin Najafi Nihan Aliyev Ercan Celik

Öz

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.

Anahtar Kelimeler

Partial differential equations, Hyperbolic equations, Inverse problem

Kaynakça

• 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).