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Yıl 2014, Cilt: 4 Sayı: 2, 199 - 208, 01.12.2014

Öz

Kaynakça

  • Adomian, G. (1994), Solving Frontier Problems of Physics: The Decomposition Method, Kluwer Academic Publishers, Boston.
  • Arslanturk, C. (2005), A decomposition method for Şn efficiency of convective straight Şns with temperature dependent thermal conductivity, Int. Comm. Heat Mass Transfer, 32, 831-841.
  • Chang, M.H. (2005), A decomposition solution for Şns with temperature dependent surface heat flux, Int. J. Heat Mass Transfer, 48, 1819-1924.
  • Cherruault, Y, and Adomian, G.(1993), Decomposition methods: A new proof of convergence, Math. Comp. Model. 18, 103 - 106.
  • Chiu, C.H., and Chen, C.K. (2002), A decomposition method for solving the convective longitudinal Şns with variable thermal conductivity, Int. J. Heat Mass Transfer, 45, 2067-2075.
  • Pamuk, N. (2006), Series Solution for Porous Medium Equation with a Source Term by Adomian Decomposition Method, Appl. Math. Comput, 178(2), 480-485.
  • Pamuk, S. (2005), An Application for Linear and Nonlinear Heat Equations by Adomian’s Decompo- sition Method, Appl. Math. Comput. 163, 89-96.
  • Pamuk, S. ( 2005), The Decomposition Method for Continuous Population Models for Single and Interacting Species, Appl. Math. Comput. 163, 79-88.
  • Pamuk, S. (2005), Solution of the Porous Media Equation by Adomian’s Decomposition Method, Physics Letters A, 344, 184-188.

SOLUTION OF TWO-DIMENSIONAL HEAT AND MASS TRANSFER EQUATION WITH POWER-LAW TEMPERATURE-DEPENDENT THERMAL CONDUCTIVITY

Yıl 2014, Cilt: 4 Sayı: 2, 199 - 208, 01.12.2014

Öz

In this paper, we obtain the particular exact solutions of the two-dimensional heat and mass transfer equation with power-law temperature-dependent thermal conductivity using the Adomian’s decomposition method. In comparison with existing techniques, the decomposition method is very effective in terms of accuracy and convergence. Also, it is an advantageous method for obtaining the solutions of non-linear differential equations without linearization and physically unrealistic assumptions. Numerical comparisons are presented in both tables and figures

Kaynakça

  • Adomian, G. (1994), Solving Frontier Problems of Physics: The Decomposition Method, Kluwer Academic Publishers, Boston.
  • Arslanturk, C. (2005), A decomposition method for Şn efficiency of convective straight Şns with temperature dependent thermal conductivity, Int. Comm. Heat Mass Transfer, 32, 831-841.
  • Chang, M.H. (2005), A decomposition solution for Şns with temperature dependent surface heat flux, Int. J. Heat Mass Transfer, 48, 1819-1924.
  • Cherruault, Y, and Adomian, G.(1993), Decomposition methods: A new proof of convergence, Math. Comp. Model. 18, 103 - 106.
  • Chiu, C.H., and Chen, C.K. (2002), A decomposition method for solving the convective longitudinal Şns with variable thermal conductivity, Int. J. Heat Mass Transfer, 45, 2067-2075.
  • Pamuk, N. (2006), Series Solution for Porous Medium Equation with a Source Term by Adomian Decomposition Method, Appl. Math. Comput, 178(2), 480-485.
  • Pamuk, S. (2005), An Application for Linear and Nonlinear Heat Equations by Adomian’s Decompo- sition Method, Appl. Math. Comput. 163, 89-96.
  • Pamuk, S. ( 2005), The Decomposition Method for Continuous Population Models for Single and Interacting Species, Appl. Math. Comput. 163, 79-88.
  • Pamuk, S. (2005), Solution of the Porous Media Equation by Adomian’s Decomposition Method, Physics Letters A, 344, 184-188.
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

S. Pamuk Bu kişi benim

N. Pamuk Bu kişi benim

Yayımlanma Tarihi 1 Aralık 2014
Yayımlandığı Sayı Yıl 2014 Cilt: 4 Sayı: 2

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