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On the solution of Stephan inverse problems

Year 2016, Volume: 4 Issue: 3, 174 - 179, 30.09.2016
https://izlik.org/JA67BE42JH

Abstract



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.




References

  • 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
https://izlik.org/JA67BE42JH

Abstract

References

  • 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).
There are 13 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Ramin Najafi This is me

Nihan Aliyev This is me

Ercan Celik This is me

Publication Date September 30, 2016
IZ https://izlik.org/JA67BE42JH
Published in Issue Year 2016 Volume: 4 Issue: 3

Cite

APA Najafi, R., Aliyev, N., & Celik, E. (2016). On the solution of Stephan inverse problems. New Trends in Mathematical Sciences, 4(3), 174-179. https://izlik.org/JA67BE42JH
AMA 1.Najafi R, Aliyev N, Celik E. On the solution of Stephan inverse problems. New Trends in Mathematical Sciences. 2016;4(3):174-179. https://izlik.org/JA67BE42JH
Chicago Najafi, Ramin, Nihan Aliyev, and Ercan Celik. 2016. “On the Solution of Stephan Inverse Problems”. New Trends in Mathematical Sciences 4 (3): 174-79. https://izlik.org/JA67BE42JH.
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 [1]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, Sept. 2016, [Online]. Available: https://izlik.org/JA67BE42JH
ISNAD Najafi, Ramin - Aliyev, Nihan - Celik, Ercan. “On the Solution of Stephan Inverse Problems”. New Trends in Mathematical Sciences 4/3 (September 1, 2016): 174-179. https://izlik.org/JA67BE42JH.
JAMA 1.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, Sept. 2016, pp. 174-9, https://izlik.org/JA67BE42JH.
Vancouver 1.Najafi R, Aliyev N, Celik E. On the solution of Stephan inverse problems. New Trends in Mathematical Sciences [Internet]. 2016 Sept. 1;4(3):174-9. Available from: https://izlik.org/JA67BE42JH