Solving Fractional Damped Burgers' Equation Approximately by Using The Sumudu Transform (ST) Method

Authors

Wurood Riyadh Abd AL- Hussein, Department of Accounting, Al-Esraa University College, Baghdad, Iraq.Follow
Rand Muhaned Fawzi, Department of Accounting, Al-Esraa University College, Baghdad, Iraq.Follow

Abstract

In this work, the fractional damped Burger's equation (FDBE) formula Dαtu + uux-uxx + λu = 0, xϵR, t > 0 λ > 0 is solved by Sumudu transform (ST) method. The purpose of the method is based on the application of ST method to nonlinear fractional partial differential equations (NLFPDE). Same initial conditions(IC) are selected to clarify this method. Also, the dependability of this method is given by several examples. In other words, some approximate solutions were gotten successfully. Finally, the curve 3D program is used for plotting the figures.

Keywords

Caputo derivative, Fractional calculus, Fractional damped Burger's equation, Sumudu transform.

Article Type

Supplemental Issue

How to Cite this Article

Abd AL- Hussein, Wurood Riyadh and Fawzi, Rand Muhaned (2021) "Solving Fractional Damped Burgers' Equation Approximately by Using The Sumudu Transform (ST) Method," Baghdad Science Journal: Vol. 18: Iss. 1, Article 33.
DOI: https://doi.org/10.21123/bsj.2021.18.1(Suppl.).0803