RETRACTED: An extension of the optimal homotopy asymptotic method with applications to nonlinear coupled partial differential equations
Volume 19, Issue 4, pp 218--229
http://dx.doi.org/10.22436/jmcs.019.04.01
Publication Date: June 14, 2019
Submission Date: November 01, 2016
Revision Date: February 21, 2019
Accteptance Date: April 10, 2019
-
2153
Downloads
-
4251
Views
Authors
Mehreen Fiza
- Department of Mathematics, Abdul Wali Khan University, Mardan KP, Pakistan.
Farkhanda Chohan
- Department of Information Technology, Burraimi University College Burraimi, Oman.
Hakeem Ullah
- Department of Mathematics, Abdul Wali Khan University, Mardan KP, Pakistan.
Saeed Islam
- Department of Mathematics, Abdul Wali Khan University, Mardan KP, Pakistan.
Samia Bushnaq
- Department of Basic Sciences, King Abdullah II Faculty of Engineering, Princess Sumaya University for Technology, Amman 11941, Jordan.
Abstract
This article has been retracted: please see ISRP Policy on Article Withdrawal.
This article has been retracted at the request of the Editor-in-Chief.
In summary: the name of one author was removed during the submission process.
The editors, therefore, feel that the findings of the manuscript cannot be relied upon.
In this paper, we applied an extension of the optimal homotopy asymptotic method (EOHAM) for the approximate solution of coupled partial differential equations (PDEs). The obtained results are compared with other results for its efficiency. The order of convergence and residuals are plotted.
Share and Cite
ISRP Style
Mehreen Fiza, Farkhanda Chohan, Hakeem Ullah, Saeed Islam, Samia Bushnaq, RETRACTED: An extension of the optimal homotopy asymptotic method with applications to nonlinear coupled partial differential equations, Journal of Mathematics and Computer Science, 19 (2019), no. 4, 218--229
AMA Style
Fiza Mehreen, Chohan Farkhanda, Ullah Hakeem, Islam Saeed, Bushnaq Samia, RETRACTED: An extension of the optimal homotopy asymptotic method with applications to nonlinear coupled partial differential equations. J Math Comput SCI-JM. (2019); 19(4):218--229
Chicago/Turabian Style
Fiza, Mehreen, Chohan, Farkhanda, Ullah, Hakeem, Islam, Saeed, Bushnaq, Samia. "RETRACTED: An extension of the optimal homotopy asymptotic method with applications to nonlinear coupled partial differential equations." Journal of Mathematics and Computer Science, 19, no. 4 (2019): 218--229
Keywords
- EOHAM
- HPM
- exact
- coupled PDEs
MSC
References
-
[1]
Y. Chen, H. L. An, Homotopy Perturbation method for a type of nonlinear coupled equation with parameters derivatives, Appl. Math. Comput., 204 (2008), 764--772
-
[2]
S. H. Chowdhury, A comparison between the Extended homotopy perturbation method and adomian decomposition method for solving nonlinear heat transfer equations, J. Appl. Sci., 11 (2011), 1416--1428
-
[3]
L. C. Chun, Fourier series based variational iteration method for a reliable treatment of heat equations with variable coefficients, Int. J. Non-linr. Sci. Num. Simu., 10 (2007), 1383--1388
-
[4]
J. D. Cole, Perturbation Methods in Applied Mathematics, Blaisdell Publishing Co. Ginn and Co., Waltham (1968)
-
[5]
D. D. Ganji, The application of He’s homotopy perturbation method to nonlinear equation arising in heat transfer, Phys. Lett. A, 355 (2006), 337--341
-
[6]
N. Herisanu, V. Marinca, Explicit analytical approximation to large amplitude nonlinear osciallation of a uniform contilaver beam carrying an intermediate lumped mass and rotary inertia, Meccanica, 45 (2010), 847--855
-
[7]
S. J. Liao, The proposed homotopy analysis technique for the solution of nonlinear problems, PhD thesis, Shanghai Jiao Tong University, Shanghai (1992)
-
[8]
V. Marinca, N. Herişanu, C. Bota, B. Marinca, An optimal homotopy asymptotic method applied to the steady flow of a fourth-grade fluid past a porous plate, Appl. Math. Lett., 22 (2009), 245--251
-
[9]
R. E. O'Malley, Introduction to Singular Perturbation, Academic Press, New York-London (1974)
-
[10]
H. Ullah, S. Islam, M. Fiza, The optimal homotopy asymptotic method with application to Inhomogeneous nonlinear wave equations, Sci. Int., 26 (2014), 1907--1913
-
[11]
H. Ullah, S. Islam, M. Fiza, Analytical Solution for Three-Dimensional Problem of Condensation Film on Inclined Rotating Disk by Extended Optimal Homotopy Asymptotic Method, Iran. J. Sci. Tech. Mech. Eng., 40 (2016), 265--273
-
[12]
H. Ullah, S. Islam, M. Idrees, M. Arif, Solution of boundary layer problem with heat transfer by optimal homotopy asymptotic method, Abstr. Appl. Anal., 2013 (2013), 10 pages
-
[13]
H. Ullah, S. Islam, M. Idrees, M. Fiza, Solution of the differential-difference equations by optimal homotopy asymptotic method, Abstr. Appl. Anal., 2014 (2014), 7 pages
-
[14]
H. Ullah, S. Islam S, M. Idrees, R. Nawaz, Application of Optimal Homotopy Asymptotic Method to Doubly Wave Solutions of the Coupled Drinfel'd-Sokolov-Wilson Equations, Math. Probl. Eng., 2013 (2013), 8 pages
-
[15]
H. Ullah, S. Islam, I. Khan, L. C. C. Dennis, T. N. Abdelhameed, I. Khan, M. Fiza, Approximate solution of two-dimensional nonlinear wave equation by optimal homotopy asymptotic method, Math. Probl. Eng., 2015 (2015), 7 pages
-
[16]
H. Ullah, S. Islam, I. Khan, S. Shafie, M. Fiza, Formulation and Applications of Optimal Homotopy Asymptotic Method to Coupled Differential-Difference Equations, PlosOne, 2015 (2015), 14 pages
-
[17]
H. Yaghoobi, M. Tirabi, The application of differential transformation method to nonlinear equation arising in heat transfer, Int. Comm. Heat Mass Transfer, 38 (2011), 815--820