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The approximate and exact solutions of the space- and time-fractional Burgers equations with initial conditions by variational iteration method. (English) Zbl 1146.35304

Summary: A scheme is developed to study numerical solution of the space- and time-fractional Burgers equations with initial conditions by the variational iteration method. The exact and numerical solutions obtained by the variational iteration method are compared with that obtained by Adomian decomposition method. The results show that the variational iteration method is much easier, more convenient, and more stable and efficient than Adomian decomposition method. Numerical solutions are calculated for the fractional Burgers equation to show the nature of solution as the fractional derivative parameter is changed.

MSC:

35A35 Theoretical approximation in context of PDEs
35S10 Initial value problems for PDEs with pseudodifferential operators
26A33 Fractional derivatives and integrals
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