شماره ركورد كنفرانس :
3502
عنوان مقاله :
Spectral Tau method based on Chebyshev operational matrix for solving three-term fractional differential equations
Author/Authors :
E Babolian Department of Mathematical Sciences and Computer - Kharazmi University , s.g shafiei Department of Mathematical Sciences and Computer - Kharazmi University , A yousefi Department of Mathematical Sciences and Computer - Kharazmi University
كليدواژه :
spectal tau method , Chebyshev operational matrix , three-term fractional differential equation , Caputo derivative
عنوان كنفرانس :
چهل و پنجمين كنفرانس رياضي ايران
چكيده لاتين :
In this paper, we apply spectral tau method for numerical solution of general three-term fractional
differential equations (FDEs). The shifted Chebyshev operational of fractional derivatives is used. The main
characteristic behind this method is that it reduces such problems to those of solving a system of algebraic
equations which greatly simplifying the problem. Through several numerical examples, we derive exact
solution for a class of FDEs.