TY - JOUR
T1 - Fractional variational homotopy perturbation iteration method and its application to a fractional diffusion equation
AU - Guo, Shimin
AU - Mei, Liquan
AU - Li, Ying
PY - 2013
Y1 - 2013
N2 - In this paper, we use the fractional variational homotopy perturbation iteration method (FVHPIM) with modified Riemann-Liouville derivative to solve a time-fractional diffusion equation. Using this method, a rapid convergent sequence tending to the exact solution of the equation can be obtained. To show the efficiency of the considered method, some numerical examples are presented.
AB - In this paper, we use the fractional variational homotopy perturbation iteration method (FVHPIM) with modified Riemann-Liouville derivative to solve a time-fractional diffusion equation. Using this method, a rapid convergent sequence tending to the exact solution of the equation can be obtained. To show the efficiency of the considered method, some numerical examples are presented.
KW - Fractional diffusion equation
KW - Homotopy perturbation method
KW - Mittag-Leffler function
KW - Modified Riemann-Liouville derivative
KW - Variational iteration method
UR - https://www.scopus.com/pages/publications/84872763477
U2 - 10.1016/j.amc.2012.12.003
DO - 10.1016/j.amc.2012.12.003
M3 - 文章
AN - SCOPUS:84872763477
SN - 0096-3003
VL - 219
SP - 5909
EP - 5917
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
IS - 11
ER -