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

Cilt: 5 Sayı: 4 1 Ekim 2017
  • Hassan Eltayeb *
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A note on double Laplace decomposition method and nonlinear partial differential equations

Abstract

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.

Keywords

Kaynakça

  1. A. M. Wazwaz, A new technique for calculating adomian polynomials for nonlinear polynomials. Appl. Math. Comput. 111( 2002) 33 - 51.
  2. 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.
  3. 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.
  4. 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.
  5. 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.
  6. 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.
  7. A. M. Wazwaz, Partial differential equations methods and applications, Netherland Balkema Publisher, 2002.
  8. Mohammad Ghoreishi. Adomian Decomposition Method (ADM) for Nonlinear Wave-like Equations with Variable Coefficient, Applied Mathematical Sciences, Vol. 4, 2010, no. 49, 2431 - 2444.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Hassan Eltayeb * Bu kişi benim
Saudi Arabia

Yayımlanma Tarihi

1 Ekim 2017

Gönderilme Tarihi

2 Ağustos 2017

Kabul Tarihi

21 Eylül 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. https://izlik.org/JA43JW34BY
AMA
1.Eltayeb H. A note on double Laplace decomposition method and nonlinear partial differential equations. New Trends in Mathematical Sciences. 2017;5(4):156-164. https://izlik.org/JA43JW34BY
Chicago
Eltayeb, Hassan. 2017. “A note on double Laplace decomposition method and nonlinear partial differential equations”. New Trends in Mathematical Sciences 5 (4): 156-64. https://izlik.org/JA43JW34BY.
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
[1]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, Eki. 2017, [çevrimiçi]. Erişim adresi: https://izlik.org/JA43JW34BY
ISNAD
Eltayeb, Hassan. “A note on double Laplace decomposition method and nonlinear partial differential equations”. New Trends in Mathematical Sciences 5/4 (01 Ekim 2017): 156-164. https://izlik.org/JA43JW34BY.
JAMA
1.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, Ekim 2017, ss. 156-64, https://izlik.org/JA43JW34BY.
Vancouver
1.Hassan Eltayeb. A note on double Laplace decomposition method and nonlinear partial differential equations. New Trends in Mathematical Sciences [Internet]. 01 Ekim 2017;5(4):156-64. Erişim adresi: https://izlik.org/JA43JW34BY