Sinc-Legendre collocation method for the non-linear Burgers' fractional equation

Kamel Al-Khaled*

*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلةمقالمراجعة النظراء

4 اقتباسات (Scopus)

ملخص

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.

اللغة الأصليةEnglish
الصفحات (من إلى)234-250
عدد الصفحات17
دوريةAnnals of the University of Craiova, Mathematics and Computer Science Series
مستوى الصوت41
رقم الإصدار2
حالة النشرPublished - 2014

ASJC Scopus subject areas

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