TY - JOUR ID - 2640 TI - An efficient numerical approach for solving the variable-order time fractional diffusion equation using chebyshev spectral collocation method JO - Journal of Mahani Mathematical Research JA - JMMR LA - en SN - 2251-7952 AU - Darehmiraki, Majid AU - Rezazadeh, Arezou AD - DEPARTMENT OF MATHEMATICS, BEHBAHAN KHATAM ALANBIA UNIVERSITY OF TECHNOLOGY, BEHBAHAN, KHOUZESTAN, IRAN AD - DEPARTMENT OF MATHEMATICS, UNIVERSITY OF QOM, QOM 37161466711, IRAN Y1 - 2020 PY - 2020 VL - 9 IS - 2 SP - 87 EP - 107 KW - Partial differential equation KW - parabolic equation KW - ‎ variable-order derivative ‎chebyshev spectral collocation method‎ DO - 10.22103/jmmrc.2020.13904.1090 N2 - In this paper we consider the one-dimensional variable-order time fractional diffusion equation where the order is $ q(x,t)\in (0,1) $. One type of Caputo fractional derivative is introduced and to get a numerical technique, the time variable is discretized using a finite difference plan then we use a spectral collocation method to discretize the spatial derivative.‎ ‎In order to show the effectiveness and accuracy of this method‎, ‎some test problems are considered‎, ‎and it is shown that the obtained results are in very good agreement with exact solutions‎. UR - https://jmmrc.uk.ac.ir/article_2640.html L1 - https://jmmrc.uk.ac.ir/article_2640_0a4d830851faf8f3c3c47b944221e32b.pdf ER -