New Iterative Method for Fractional Gas Dynamics and Coupled Burger’s Equations
This paper presents the approximate analytical solutions to solve the nonlinear gas dynamics and coupled Burger’s equations with fractional time derivative. By using initial values, the explicit solutions of the equations are solved by using a reliable algorithm...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
|
| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2015/153124 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832564656858726400 |
|---|---|
| author | Mohamed S. Al-luhaibi |
| author_facet | Mohamed S. Al-luhaibi |
| author_sort | Mohamed S. Al-luhaibi |
| collection | DOAJ |
| description | This paper presents the approximate analytical solutions to solve the nonlinear gas dynamics and coupled
Burger’s equations with fractional time derivative. By using initial values, the explicit solutions of the equations are solved by
using a reliable algorithm. Numerical results show that the new iterative method is easy to implement and accurate when applied to time-fractional partial differential equations. |
| format | Article |
| id | doaj-art-058142e97e00494da2aab1b3b94b5549 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-058142e97e00494da2aab1b3b94b55492025-02-03T01:10:28ZengWileyThe Scientific World Journal2356-61401537-744X2015-01-01201510.1155/2015/153124153124New Iterative Method for Fractional Gas Dynamics and Coupled Burger’s EquationsMohamed S. Al-luhaibi0Department of Mathematics, Faculty of Science, Kirkuk University, Kirkuk, IraqThis paper presents the approximate analytical solutions to solve the nonlinear gas dynamics and coupled Burger’s equations with fractional time derivative. By using initial values, the explicit solutions of the equations are solved by using a reliable algorithm. Numerical results show that the new iterative method is easy to implement and accurate when applied to time-fractional partial differential equations.http://dx.doi.org/10.1155/2015/153124 |
| spellingShingle | Mohamed S. Al-luhaibi New Iterative Method for Fractional Gas Dynamics and Coupled Burger’s Equations The Scientific World Journal |
| title | New Iterative Method for Fractional Gas Dynamics and Coupled Burger’s Equations |
| title_full | New Iterative Method for Fractional Gas Dynamics and Coupled Burger’s Equations |
| title_fullStr | New Iterative Method for Fractional Gas Dynamics and Coupled Burger’s Equations |
| title_full_unstemmed | New Iterative Method for Fractional Gas Dynamics and Coupled Burger’s Equations |
| title_short | New Iterative Method for Fractional Gas Dynamics and Coupled Burger’s Equations |
| title_sort | new iterative method for fractional gas dynamics and coupled burger s equations |
| url | http://dx.doi.org/10.1155/2015/153124 |
| work_keys_str_mv | AT mohamedsalluhaibi newiterativemethodforfractionalgasdynamicsandcoupledburgersequations |