Nonlinearities distribution Laplace transform-homotopy perturbation method-Reference-Cited by-同舟云学术

Nonlinearities distribution Laplace transform-homotopy perturbation method

Published:2014-10-09 Issue:1 Volume:3 Page:
ISSN:2193-1801
Container-title:SpringerPlus
language:en
Short-container-title:SpringerPlus

Author:

Filobello-Nino Uriel,Vazquez-Leal Hector,Benhammouda Brahim,Hernandez-Martinez Luis,Hoyos-Reyes Claudio,Perez-Sesma Jose Antonio Agustin,Jimenez-Fernandez Victor Manuel,Pereyra-Diaz Domitilo,Marin-Hernandez Antonio,Diaz-Sanchez Alejandro,Huerta-Chua Jesus,Cervantes-Perez Juan

Abstract

Abstract This article proposes non-linearities distribution Laplace transform-homotopy perturbation method (NDLT-HPM) to find approximate solutions for linear and nonlinear differential equations with finite boundary conditions. We will see that the method is particularly relevant in case of equations with nonhomogeneous non-polynomial terms. Comparing figures between approximate and exact solutions we show the effectiveness of the proposed method.

Publisher

Springer Science and Business Media LLC

Subject

Multidisciplinary

Link

https://link.springer.com/content/pdf/10.1186/2193-1801-3-594.pdf

Reference67 articles.

1. Adomian G: A review of decomposition method in applied mathematics. Math Anal Appl 1988, 135: 501-544. 10.1016/0022-247X(88)90170-9

2. Aminikhah H: Analytical approximation to the solution of nonlinear Blasius viscous flow equation by LTNHPM. Int Sch Res Netw ISRN Math Anal 2011, 2012(957473):10. doi:10.5402/2012/957473

3. Aminikhah H: The combined Laplace transform and new homotopy perturbation method for stiff systems of ODE s. Appl Math Model 2012, 36: 3638-3644. 10.1016/j.apm.2011.10.014

4. Aminikhan H, Hemmatnezhad M: A novel effective approach for solving nonlinear heat transfer equations. Heat Transfer Asian Res 2012, 41(6):459-466. 10.1002/htj.20411

5. Araghi MF, Rezapour B: Application of homotopy perturbation method to solve multidimensional schrodingers equations. Int J Math Arch (IJMA) 2011, 2: 1-6. ISSN 2229–5046

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