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A note on double Laplace decomposition method and nonlinear partial differential equations

Yıl 2017, Cilt: 5 Sayı: 4, 156 - 164, 01.10.2017

Öz

In this
article we propose a new technique, namely double Laplace decomposition method
for solving nonlinear partial differential equation. The technique is described
and illustrated with some examples.

Kaynakça

  • A. M. Wazwaz, A new technique for calculating adomian polynomials for nonlinear polynomials. Appl. Math. Comput. 111( 2002) 33 - 51.
  • A. Kiliçman and H. E. Gadain, “On the applications of Laplace and Sumudu transforms,” Journal of the Franklin Institute, vol. 347, no. 5, pp. 848–862, 2010.
  • H. Eltayeb and A. Kiliçman, A Note on Double Laplace Transform and Telegraphic Equations. Abstract and Applied Analysis, Volume 2013 (2013), Article ID 932578, 6 pages.
  • A. Kiliçman and H. Eltayeb, A note on defining singular integral as distribution and partial differential equation with convolution term, Math. Comput. Modelling 49 (2009) 327-336.
  • H. Eltayeb and A. Kiliçman, A Note on Solutions of Wave, Laplace’s and Heat Equations with Convolution Terms by Using Double Laplace Transform: Appl, Math, Lett. 21 (12) (2008), 1324–1329.
  • D. Kaya and M. Inc. On the Solution of the Nonlinear Wave Equation by the Decomposition Method, Bull. Malaysian Math. Soc. (Second Series) 22 (1999) 151-155.
  • A. M. Wazwaz, Partial differential equations methods and applications, Netherland Balkema Publisher, 2002.
  • Mohammad Ghoreishi. Adomian Decomposition Method (ADM) for Nonlinear Wave-like Equations with Variable Coefficient, Applied Mathematical Sciences, Vol. 4, 2010, no. 49, 2431 - 2444.
Yıl 2017, Cilt: 5 Sayı: 4, 156 - 164, 01.10.2017

Öz

Kaynakça

  • A. M. Wazwaz, A new technique for calculating adomian polynomials for nonlinear polynomials. Appl. Math. Comput. 111( 2002) 33 - 51.
  • A. Kiliçman and H. E. Gadain, “On the applications of Laplace and Sumudu transforms,” Journal of the Franklin Institute, vol. 347, no. 5, pp. 848–862, 2010.
  • H. Eltayeb and A. Kiliçman, A Note on Double Laplace Transform and Telegraphic Equations. Abstract and Applied Analysis, Volume 2013 (2013), Article ID 932578, 6 pages.
  • A. Kiliçman and H. Eltayeb, A note on defining singular integral as distribution and partial differential equation with convolution term, Math. Comput. Modelling 49 (2009) 327-336.
  • H. Eltayeb and A. Kiliçman, A Note on Solutions of Wave, Laplace’s and Heat Equations with Convolution Terms by Using Double Laplace Transform: Appl, Math, Lett. 21 (12) (2008), 1324–1329.
  • D. Kaya and M. Inc. On the Solution of the Nonlinear Wave Equation by the Decomposition Method, Bull. Malaysian Math. Soc. (Second Series) 22 (1999) 151-155.
  • A. M. Wazwaz, Partial differential equations methods and applications, Netherland Balkema Publisher, 2002.
  • Mohammad Ghoreishi. Adomian Decomposition Method (ADM) for Nonlinear Wave-like Equations with Variable Coefficient, Applied Mathematical Sciences, Vol. 4, 2010, no. 49, 2431 - 2444.
Toplam 8 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

Hassan Eltayeb Bu kişi benim

Yayımlanma Tarihi 1 Ekim 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 5 Sayı: 4

Kaynak Göster

APA Eltayeb, H. (2017). A note on double Laplace decomposition method and nonlinear partial differential equations. New Trends in Mathematical Sciences, 5(4), 156-164.
AMA Eltayeb H. A note on double Laplace decomposition method and nonlinear partial differential equations. New Trends in Mathematical Sciences. Ekim 2017;5(4):156-164.
Chicago Eltayeb, Hassan. “A Note on Double Laplace Decomposition Method and Nonlinear Partial Differential Equations”. New Trends in Mathematical Sciences 5, sy. 4 (Ekim 2017): 156-64.
EndNote Eltayeb H (01 Ekim 2017) A note on double Laplace decomposition method and nonlinear partial differential equations. New Trends in Mathematical Sciences 5 4 156–164.
IEEE H. Eltayeb, “A note on double Laplace decomposition method and nonlinear partial differential equations”, New Trends in Mathematical Sciences, c. 5, sy. 4, ss. 156–164, 2017.
ISNAD Eltayeb, Hassan. “A Note on Double Laplace Decomposition Method and Nonlinear Partial Differential Equations”. New Trends in Mathematical Sciences 5/4 (Ekim 2017), 156-164.
JAMA Eltayeb H. A note on double Laplace decomposition method and nonlinear partial differential equations. New Trends in Mathematical Sciences. 2017;5:156–164.
MLA Eltayeb, Hassan. “A Note on Double Laplace Decomposition Method and Nonlinear Partial Differential Equations”. New Trends in Mathematical Sciences, c. 5, sy. 4, 2017, ss. 156-64.
Vancouver Eltayeb H. A note on double Laplace decomposition method and nonlinear partial differential equations. New Trends in Mathematical Sciences. 2017;5(4):156-64.