Laplace homotopy perturbation method for Burgers equation with space- and time-fractional order

Autor: Johnston S. J., Jafari H., Moshokoa S. P., Ariyan V. M., Baleanu D.
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Zdroj: Open Physics, Vol 14, Iss 1, Pp 247-252 (2016)
Druh dokumentu: article
ISSN: 2391-5471
DOI: 10.1515/phys-2016-0023
Popis: The fractional Burgers equation describes the physical processes of unidirectional propagation of weakly nonlinear acoustic waves through a gas-filled pipe. The Laplace homotopy perturbation method is discussed to obtain the approximate analytical solution of space-fractional and time-fractional Burgers equations. The method used combines the Laplace transform and the homotopy perturbation method. Numerical results show that the approach is easy to implement and accurate when applied to partial differential equations of fractional orders.
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