Laplace homotopy perturbation method for burgers equation with space- and time-fractional order.
Johnston, S. J. Jafari, H. Moshokoa, S. P. Ariyan, V. M. Baleanu, D.
Johnston, S. J.
Jafari, H.
Moshokoa, S. P.
Ariyan, V. M.
Baleanu, D.
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Abstract
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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Date
2015-12-20
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Publisher
De Gruyter
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Keywords
Fractional differential equations, Burgers equation, Homotopy perturbation method, Laplace transform