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Journals / Turkish Journal of Mathematics and Computer Science / 2018 / Cilt: 8 - Sayı: 8

A Weighted Algorithm for Solving a Cauchy Problem of The Sideways Parabolic Equation

Afshin BABAEİ
Alireza MOHAMMADPOUR
Pages
1–9
DOI
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In this paper, a weighted algorithm based on the reduced differential transform method is presented for

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Objective & Hypothesis:In this paper, a weighted algorithm based on the reduced differential transform method is presented for
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Key Findings & Data:In this paper, a weighted algorithm based on the reduced differential transform method is presented for
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Conclusion & Impact:In this paper, a weighted algorithm based on the reduced differential transform method is presented for
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Weighted reduced differential transform method · sideways parabolic equation · inverse problem

Abstract

In this paper, a weighted algorithm based on the reduced differential transform method is presented for

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Cite This Article

BABAEİ, A., MOHAMMADPOUR, A. (2018). A Weighted Algorithm for Solving a Cauchy Problem of The Sideways Parabolic Equation. Turkish Journal of Mathematics and Computer Science, Cilt: 8 - Sayı: 8, 1–9. https://ajindex.com/articles/374689

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References (17)

  1. Adomian, G., Application of decomposition to convection-diffusion equations, Appl. Math. Lett., 1(1988), 7–9.
  2. Arikoglu, A., Ozkol, I., Solution of integro-differential equation systems by using di erential transform method, Computer and Mathematics with Applications, 56(2008), 2411–2417.
  3. Babaei, A., Mohammadpour, A., Solving an inverse heat conduction problem by reduced di erential transform method, New trends in Mathematical sciences, 3(2015), 65–70.
  4. Bazan, F. S. V., Chebyshev pseudospectral method for computing numerical solution of convection-di usion equation, Applied Mathematics and Computation, 200(2)(2008), 537–546.
  5. Beck, J. V., Blackwell, B., Chair, S.R., Inverse Heat Conduction: III-Posed Problems, Wiley, New York, 1985.
  6. Berntsson, F., A spectral method for solving the sideways heat equation, Inverse Problems, 15(1999), 891–906.
  7. Blom, E., Nyqvist, P., Loyd, D., Suction Pyrometer Analysis of The Instrument and Guide for Users, Varmeforsk, 2004.
  8. Carasso, A., Determining surface temperatures from interior observations, SIAM J. Appl. Math., 42(1982), 558–574.
  9. Chertock, A., Kurganov, A., On Splitting-Based Numerical Methods for Convection-Diffusion Equations, Quaderni di Matematica, 24(2009), 303–343.
  10. Deng, Y., Liu, Z., Iteration methods on sideways parabolic equations, Inverse Problems, 25(9)(2009), 095004 (14pp). Golz, W. J., Dorroh, J.R., The convection-di usion equation for a finite domain with time varying boundaries, APPL MATH L, 14(8)(2001), 983–988.
  11. Hao, D. N., Reinhard, H. J., On a sideways parabolic equation, Inverse Problems, 13(1997), 297–309.
  12. Karalashvili, M., Gros, S., Mhamdi, A., Reusken, A., Marquardt, W., Identification of transport cofficient models in convection-diffusion equations, SIAM J. Sci. Comput., 33(2011), 303–327.
  13. Keskin, Y., Oturanc, G., Reduced differential transform method for partial differential equations, International Journal of Nonlinear Sciences and Numerical Simulation, 10(2)(2009), 7414–749.
  14. Kurnaz, A., Oturance, G., The differential transform approximation for the system of ordinary differential equations, International Journal of Computer Mathematics, 82(6)(2005), 709–719.
  15. Lesnic, D., The decomposition method for Cauchy advection-diffusion problems, Comput. Math. Appl., 49(2005), 525–537.
  16. Regiriska, T., Sideways heat equation and wavelets, J. Comput. Appl. Math., 63(1995), 209–214.
  17. Shidfar, A., Garshasbi, M., A weighted algorithm based on Adomian decomposition method for solving an special class of evolution equ