In this paper the Burger’s_Fisher equation inone dimension has been solved by using three finite differences methods which are the explicit method, exponential method and DuFort_Frankel method After comparing the numerical results of those methods with the exact solution for the equation, there has been found an excellent approximation between exact solution and Numerical solutions for those methods, the DuFort_Frankel method was the best method in one dimension.
| Published in | Fluid Mechanics (Volume 4, Issue 1) |
| DOI | 10.11648/j.fm.20180401.13 |
| Page(s) | 20-26 |
| 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), 2018. Published by Science Publishing Group |
Burger’s_Fisher Equation, Differential Equation, Finite Difference Method
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APA Style
Abdulghafor M. Al-Rozbayani, Karam A. Al-Hayalie. (2018). Numerical Solution of Burger’s_Fisher Equation in One - Dimensional Using Finite Differences Methods. Fluid Mechanics, 4(1), 20-26. https://doi.org/10.11648/j.fm.20180401.13
ACS Style
Abdulghafor M. Al-Rozbayani; Karam A. Al-Hayalie. Numerical Solution of Burger’s_Fisher Equation in One - Dimensional Using Finite Differences Methods. Fluid Mech. 2018, 4(1), 20-26. doi: 10.11648/j.fm.20180401.13
AMA Style
Abdulghafor M. Al-Rozbayani, Karam A. Al-Hayalie. Numerical Solution of Burger’s_Fisher Equation in One - Dimensional Using Finite Differences Methods. Fluid Mech. 2018;4(1):20-26. doi: 10.11648/j.fm.20180401.13
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author = {Abdulghafor M. Al-Rozbayani and Karam A. Al-Hayalie},
title = {Numerical Solution of Burger’s_Fisher Equation in One - Dimensional Using Finite Differences Methods},
journal = {Fluid Mechanics},
volume = {4},
number = {1},
pages = {20-26},
doi = {10.11648/j.fm.20180401.13},
url = {https://doi.org/10.11648/j.fm.20180401.13},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.fm.20180401.13},
abstract = {In this paper the Burger’s_Fisher equation inone dimension has been solved by using three finite differences methods which are the explicit method, exponential method and DuFort_Frankel method After comparing the numerical results of those methods with the exact solution for the equation, there has been found an excellent approximation between exact solution and Numerical solutions for those methods, the DuFort_Frankel method was the best method in one dimension.},
year = {2018}
}
TY - JOUR T1 - Numerical Solution of Burger’s_Fisher Equation in One - Dimensional Using Finite Differences Methods AU - Abdulghafor M. Al-Rozbayani AU - Karam A. Al-Hayalie Y1 - 2018/02/01 PY - 2018 N1 - https://doi.org/10.11648/j.fm.20180401.13 DO - 10.11648/j.fm.20180401.13 T2 - Fluid Mechanics JF - Fluid Mechanics JO - Fluid Mechanics SP - 20 EP - 26 PB - Science Publishing Group SN - 2575-1816 UR - https://doi.org/10.11648/j.fm.20180401.13 AB - In this paper the Burger’s_Fisher equation inone dimension has been solved by using three finite differences methods which are the explicit method, exponential method and DuFort_Frankel method After comparing the numerical results of those methods with the exact solution for the equation, there has been found an excellent approximation between exact solution and Numerical solutions for those methods, the DuFort_Frankel method was the best method in one dimension. VL - 4 IS - 1 ER -
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