New Modification of Homotopy Perturbation Method and the Fourth - Order Parabolic Equations with Variable Coefficients

Mohamed Elbadri; Tarig. M. Elzaki

doi:doi:10.11648/j.pamj.20150406.13

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New Modification of Homotopy Perturbation Method and the Fourth - Order Parabolic Equations with Variable Coefficients

Mohamed Elbadri, Tarig. M. Elzaki

Published in Pure and Applied Mathematics Journal (Volume 4, Issue 6)

Received: 14 September 2015 Accepted: 21 September 2015 Published: 13 October 2015

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Abstract

In this paper, the exact solution of the fourth - order parabolic equations with variable coefficients is obtained by using a new homotopy perturbation method (NHPM), theoretical consideration are discussed. Finally, three examples are illustrated to show the validity and applicability of the proposed method.

Published in	Pure and Applied Mathematics Journal (Volume 4, Issue 6)
DOI	10.11648/j.pamj.20150406.13
Page(s)	242-247
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

New Homotopy Perturbation Method (NHPM), Fourth - Order Parabolic Equations

References

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[11]	J. Biazar and H. Ghazvini, He’s variational iteration method for fourth - orde parabolic equations, Comput. Math.Appl. 54 (2007), pp. 1047–1054.
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[17]	J. H. He, Some asymptotic method for strongly nonlinear equations, International Journal of Modern Physics 20 (2006) 1144 - 1199.
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[19]	S. T. Mohyud - Din, A. Yildirim, Homotopy perturbation method for advection problems, Nonlinear Science Letters A 1 (2010) 307 - 312.
[20]	A. Beléndez, T. Beléndez, A. Markuez, and C. Neipp, Application of He’s homotopy perturbation method to conservative truly nonlinear oscillators, Chaos Solitons and Fractals (2006), doi: 10.1016/j.chaos. 2006. 09. 070.
[21]	A. Beléndez, T. Beléndez, C. Neipp, A. Hernandez, and M. L. Alvarez, Approximate solutions of a non linear oscillator typified as a mass attached to a stretched elastic wire by the homotopy perturbation method, Chaos Solitons and Fractals (2007): 10.1016/j.chaos, 2007. 01. 089.
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APA Style

Mohamed Elbadri, Tarig. M. Elzaki. (2015). New Modification of Homotopy Perturbation Method and the Fourth - Order Parabolic Equations with Variable Coefficients. Pure and Applied Mathematics Journal, 4(6), 242-247. https://doi.org/10.11648/j.pamj.20150406.13

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ACS Style

Mohamed Elbadri; Tarig. M. Elzaki. New Modification of Homotopy Perturbation Method and the Fourth - Order Parabolic Equations with Variable Coefficients. Pure Appl. Math. J. 2015, 4(6), 242-247. doi: 10.11648/j.pamj.20150406.13

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AMA Style

Mohamed Elbadri, Tarig. M. Elzaki. New Modification of Homotopy Perturbation Method and the Fourth - Order Parabolic Equations with Variable Coefficients. Pure Appl Math J. 2015;4(6):242-247. doi: 10.11648/j.pamj.20150406.13

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@article{10.11648/j.pamj.20150406.13,
  author = {Mohamed Elbadri and Tarig. M. Elzaki},
  title = {New Modification of Homotopy Perturbation Method and the Fourth - Order Parabolic Equations with Variable Coefficients},
  journal = {Pure and Applied Mathematics Journal},
  volume = {4},
  number = {6},
  pages = {242-247},
  doi = {10.11648/j.pamj.20150406.13},
  url = {https://doi.org/10.11648/j.pamj.20150406.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20150406.13},
  abstract = {In this paper, the exact solution of the fourth - order parabolic equations with variable coefficients is obtained by using a new homotopy perturbation method (NHPM), theoretical consideration are discussed. Finally, three examples are illustrated to show the validity and applicability of the proposed method.},
 year = {2015}
}

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TY  - JOUR
T1  - New Modification of Homotopy Perturbation Method and the Fourth - Order Parabolic Equations with Variable Coefficients
AU  - Mohamed Elbadri
AU  - Tarig. M. Elzaki
Y1  - 2015/10/13
PY  - 2015
N1  - https://doi.org/10.11648/j.pamj.20150406.13
DO  - 10.11648/j.pamj.20150406.13
T2  - Pure and Applied Mathematics Journal
JF  - Pure and Applied Mathematics Journal
JO  - Pure and Applied Mathematics Journal
SP  - 242
EP  - 247
PB  - Science Publishing Group
SN  - 2326-9812
UR  - https://doi.org/10.11648/j.pamj.20150406.13
AB  - In this paper, the exact solution of the fourth - order parabolic equations with variable coefficients is obtained by using a new homotopy perturbation method (NHPM), theoretical consideration are discussed. Finally, three examples are illustrated to show the validity and applicability of the proposed method.
VL  - 4
IS  - 6
ER  -

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Author Information

Mohamed Elbadri

Mathematics Department, Faculty of Sciences, Sudan University of Sciences and Technology, Khartoum, Sudan; Mathematics Department, Faculty Mathematics and Computer Science, University of Gezira, Khartoum, Sudan
Tarig. M. Elzaki

Mathematics Department, Faculty of Sciences, Sudan University of Sciences and Technology, Khartoum, Sudan; Mathematics Department, Faculty of Sciences and Arts - Alkamil, University of Jeddah Jeddah, Saudi Arabia

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APA Style

Mohamed Elbadri, Tarig. M. Elzaki. (2015). New Modification of Homotopy Perturbation Method and the Fourth - Order Parabolic Equations with Variable Coefficients. Pure and Applied Mathematics Journal, 4(6), 242-247. https://doi.org/10.11648/j.pamj.20150406.13

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ACS Style

Mohamed Elbadri; Tarig. M. Elzaki. New Modification of Homotopy Perturbation Method and the Fourth - Order Parabolic Equations with Variable Coefficients. Pure Appl. Math. J. 2015, 4(6), 242-247. doi: 10.11648/j.pamj.20150406.13

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AMA Style

Mohamed Elbadri, Tarig. M. Elzaki. New Modification of Homotopy Perturbation Method and the Fourth - Order Parabolic Equations with Variable Coefficients. Pure Appl Math J. 2015;4(6):242-247. doi: 10.11648/j.pamj.20150406.13

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@article{10.11648/j.pamj.20150406.13,
  author = {Mohamed Elbadri and Tarig. M. Elzaki},
  title = {New Modification of Homotopy Perturbation Method and the Fourth - Order Parabolic Equations with Variable Coefficients},
  journal = {Pure and Applied Mathematics Journal},
  volume = {4},
  number = {6},
  pages = {242-247},
  doi = {10.11648/j.pamj.20150406.13},
  url = {https://doi.org/10.11648/j.pamj.20150406.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20150406.13},
  abstract = {In this paper, the exact solution of the fourth - order parabolic equations with variable coefficients is obtained by using a new homotopy perturbation method (NHPM), theoretical consideration are discussed. Finally, three examples are illustrated to show the validity and applicability of the proposed method.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - New Modification of Homotopy Perturbation Method and the Fourth - Order Parabolic Equations with Variable Coefficients
AU  - Mohamed Elbadri
AU  - Tarig. M. Elzaki
Y1  - 2015/10/13
PY  - 2015
N1  - https://doi.org/10.11648/j.pamj.20150406.13
DO  - 10.11648/j.pamj.20150406.13
T2  - Pure and Applied Mathematics Journal
JF  - Pure and Applied Mathematics Journal
JO  - Pure and Applied Mathematics Journal
SP  - 242
EP  - 247
PB  - Science Publishing Group
SN  - 2326-9812
UR  - https://doi.org/10.11648/j.pamj.20150406.13
AB  - In this paper, the exact solution of the fourth - order parabolic equations with variable coefficients is obtained by using a new homotopy perturbation method (NHPM), theoretical consideration are discussed. Finally, three examples are illustrated to show the validity and applicability of the proposed method.
VL  - 4
IS  - 6
ER  -

Copy | Download