Research Article

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

Volume: 5 Number: 4 October 1, 2017
  • Hassan Eltayeb *
EN

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

References

  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.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Hassan Eltayeb * This is me
Saudi Arabia

Publication Date

October 1, 2017

Submission Date

August 2, 2017

Acceptance Date

September 21, 2017

Published in Issue

Year 2017 Volume: 5 Number: 4

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 (October 1, 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, vol. 5, no. 4, pp. 156–164, Oct. 2017, [Online]. Available: 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 (October 1, 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, vol. 5, no. 4, Oct. 2017, pp. 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]. 2017 Oct. 1;5(4):156-64. Available from: https://izlik.org/JA43JW34BY