Solving Fractional Diffusion Equation via the Collocation Method Based on Fractional Legendre Functions
2014 ◽
Vol 2014
◽
pp. 1-10
◽
Keyword(s):
A formulation of the fractional Legendre functions is constructed to solve the generalized time-fractional diffusion equation. The fractional derivative is described in the Caputo sense. The method is based on the collection Legendre and path following methods. Analysis for the presented method is given and numerical results are presented.
2013 ◽
Vol 10
(02)
◽
pp. 1341001
◽
2015 ◽
Vol 257
◽
pp. 317-326
◽
2018 ◽
Vol 34
(4)
◽
pp. 1209-1223
◽
2013 ◽
Vol 16
(4)
◽
2009 ◽
Vol 351
(1)
◽
pp. 218-223
◽
2014 ◽
Vol 17
(2)
◽
2018 ◽
Vol 11
(11)
◽
pp. 1282-1293
2020 ◽
Vol 6
(4)
◽
2019 ◽
Vol 13
(06)
◽
pp. 2050111
◽