Analytical Approach to Space- and Time-Fractional Burgers Equations
Articles > Article ยท 2010
Authors: Ahmet YILDIRIM, Syed Tauseef MOHYUD-DIN
Chinese Physics Letters, Journal Indexed in SCI Expanded, International, WoS, 2010, vol 27, pp 090501-090501
DOI: 10.1088/0256-307x/27/9/090501
Summary
A scheme is developed to study numerical solution of the space- and time-fractional Burgers equations under initial conditions by the homotopy analysis method. The fractional derivatives are considered in the Caputo sense. The solutions are given in the form of series with easily computable terms. Numerical solutions are calculated for the fractional Burgers equation to show the nature of solution as the fractional derivative parameter is changed.