In this paper, the exact solution of Burgers equations are obtained by using coupling homotopy perturbation and Sumudu transform method (HPSTM), theoretical considerations are discussed, to illustrate the capability and reliability some examples are provided, the results reveal that method is very effective and simple.
| Published in | American Journal of Theoretical and Applied Statistics (Volume 4, Issue 6) |
| DOI | 10.11648/j.ajtas.20150406.18 |
| Page(s) | 480-483 |
| 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 |
Burgers Equations, Sumudu Transform, Inverse Sumudu Transform, Homotopy Perturbation Method
| [1] | G. K. Watugala, Sumudu transform- a new integral transform to solve differential equations and control engineering problems, Math. Engg. Indust., 6 (4) (1998), 319-329. |
| [2] | M. A. Asiru, Sumudu transform and the solution of integral equation of convolution type, International Journal of Mathematical Education in Science and Technology, 32 (2001), 906-910. |
| [3] | F. B. M. Belgacem, A. A. Karaballi and S. L Kalla, Analytical investigations of the Sumudu transform and applications to integral production equations, Mathematical problems in Engineering, 3 (2003), 103-118. |
| [4] | F. B. M. Belgacem and A. A. Karaballi, Sumudu transform fundamental properties investigations and applications, International J. Appl. Math. Stoch. Anal., (2005), 1-23. |
| [5] | J. M. Burgers, A mathematical model illustrating the theory of turbulence, Adv. Appl. Mech. 1,171 – 199, (1948). |
| [6] | A. M. Wazwaz, Partial Differential Equations: Methods and Applications, Balkema, Leiden, (2002). |
| [7] | A. Ghorbani, Beyond adomian’s polynomials: He polynomials, Chaos Solitons Fractals, 39 (2009), 1486–1492. |
| [8] | S. T. Mohyud-Din, M. A. Noor and K. I. Noor, Traveling wave solutions of seventh-order generalized KdV equation using He’s polynomials, International Journal of Nonlinear Sciences and Numerical Simulation, 10 (2009), 227–233. |
| [9] | J. Biazar, M. Gholami Porshokuhi and B. Ghanbari, Extracting a general iterative method from an adomian decomposition method and comparing it to the variational iteration method, Computers & Mathematics with Applications, 59 (2010), 622–628. |
| [10] | S. A. Khuri, A Laplace decomposition algorithm applied to a class of nonlinear differential equations, Journal of Applied Mathematics, 1 (2001), 141–155. |
| [11] | E. Yusufoglu, Numerical solution of Duffing equation by the Laplace decomposition algorithm, Applied Mathematics and Computation, 177 (2006), 572–580. |
| [12] | Y. Khan and F. Austin, Application of the Laplace decomposition method to nonlinear homogeneous and non-homogenous advection equations, Zeitschrift fuer Naturforschung, 65a (2010), 1–5. |
APA Style
Amjad Ezoo Hamza, Tarig M. Elzaki. (2015). Application of Homotopy Perturbation and Sumudu Transform Method for Solving Burgers Equations. American Journal of Theoretical and Applied Statistics, 4(6), 480-483. https://doi.org/10.11648/j.ajtas.20150406.18
ACS Style
Amjad Ezoo Hamza; Tarig M. Elzaki. Application of Homotopy Perturbation and Sumudu Transform Method for Solving Burgers Equations. Am. J. Theor. Appl. Stat. 2015, 4(6), 480-483. doi: 10.11648/j.ajtas.20150406.18
AMA Style
Amjad Ezoo Hamza, Tarig M. Elzaki. Application of Homotopy Perturbation and Sumudu Transform Method for Solving Burgers Equations. Am J Theor Appl Stat. 2015;4(6):480-483. doi: 10.11648/j.ajtas.20150406.18
Share This Article
Twitter
Linked In
Facebook
Copy
Download@article{10.11648/j.ajtas.20150406.18,
author = {Amjad Ezoo Hamza and Tarig M. Elzaki},
title = {Application of Homotopy Perturbation and Sumudu Transform Method for Solving Burgers Equations},
journal = {American Journal of Theoretical and Applied Statistics},
volume = {4},
number = {6},
pages = {480-483},
doi = {10.11648/j.ajtas.20150406.18},
url = {https://doi.org/10.11648/j.ajtas.20150406.18},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.20150406.18},
abstract = {In this paper, the exact solution of Burgers equations are obtained by using coupling homotopy perturbation and Sumudu transform method (HPSTM), theoretical considerations are discussed, to illustrate the capability and reliability some examples are provided, the results reveal that method is very effective and simple.},
year = {2015}
}
TY - JOUR T1 - Application of Homotopy Perturbation and Sumudu Transform Method for Solving Burgers Equations AU - Amjad Ezoo Hamza AU - Tarig M. Elzaki Y1 - 2015/10/14 PY - 2015 N1 - https://doi.org/10.11648/j.ajtas.20150406.18 DO - 10.11648/j.ajtas.20150406.18 T2 - American Journal of Theoretical and Applied Statistics JF - American Journal of Theoretical and Applied Statistics JO - American Journal of Theoretical and Applied Statistics SP - 480 EP - 483 PB - Science Publishing Group SN - 2326-9006 UR - https://doi.org/10.11648/j.ajtas.20150406.18 AB - In this paper, the exact solution of Burgers equations are obtained by using coupling homotopy perturbation and Sumudu transform method (HPSTM), theoretical considerations are discussed, to illustrate the capability and reliability some examples are provided, the results reveal that method is very effective and simple. VL - 4 IS - 6 ER -
Information
Email: