شماره ركورد كنفرانس :
5362
عنوان مقاله :
A numerical pseudospectral method for solving fractional one-dimensional Dirac operator
پديدآورندگان :
Shahriari Mohammad shahriari@maragheh.ac.ir University of Maragheh , Nemati Saray Behzad bn.saray@iasbs.ac.ir Institute for Advanced Studies in Basic Sciences , Mohammadalipour Bahareh bahareh.alipoor@gmail.com University of Maragheh
كليدواژه :
Dirac operator , fractional differential equation , pseudospectral method
عنوان كنفرانس :
دوازدهمين سمينار جبر خطي و كاربردهاي آن
چكيده فارسي :
In this manuscript, the pseudospectral method for solving the one-dimensional Caputo fractional Dirac operator are presented. The base of this method is transforming the problem to a weakly singular Volterra integro-differential equation. For this purpose first, the matrices obtained from the representation of the fractional integration operator based on Chebyshev cardinal functions. To obtain approximation of the eigenvalues of the problem, the roots of the characteristics matrix function are find. Finally, Some numerical examples are presented to illustrate the ability and accuracy of the method.
