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• W1561628815 abstract "This paper deals with the numerical solution of the nonlinear fractional Burgers' equation. The fractional derivatives are described based on the Caputo sense. We construct the solution using different approach, that is based on using collocation techniques. The solution is based on using the Sinc method, which builds an approximate  solution valid on the entire spatial domain, and  in the time domain, we use the  shifted Legendre polynomials to replace the time fractional derivatives. The error in the approximation  is shown to converge to the exact solution at an exponential rate. Illustrative examples are given with an applications from traffic flow,  and the numerical results are shown to demonstrate the efficiency of the newly proposed method." @default.
• W1561628815 created "2016-06-24" @default.
• W1561628815 creator A5042672189 @default.
• W1561628815 date "2014-12-28" @default.
• W1561628815 modified "2023-09-26" @default.
• W1561628815 title "Sinc-Legendre collocation method for the non-linear Burgers' fractional equation" @default.
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• W1561628815 hasPublicationYear "2014" @default.
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