TY  - JOUR
AB  - Purpose– The purpose of this paper is to apply a new modified homotopy perturbation method, which is effective to solve multi-order fractional equations with non-polynomial initial and boundary conditions. Design/methodology/approach– The proposed algorithm is tested on multi-order fractional advection-dispersion equations. The fractional derivatives described in this paper are in the Caputo sense. Findings– Approximate results explicitly reveal the complete reliability, efficiency and accuracy of the new modified technique. Originality/value– It is observed that the approach may be implemented to other multi-fractional models with non-polynomial initial and boundary conditions.
VL  - 25
IS  - 1
SN  - 0961-5539
DO  - 10.1108/HFF-06-2013-0187
UR  - https://doi.org/10.1108/HFF-06-2013-0187
AU  - Liu Yanqin
AU  - Dong Lihua
PY  - 2015
Y1  - 2015/01/01
TI  - Approximate solutions of multi-order fractional advection-dispersion equation with non-polynomial conditions
T2  - International Journal of Numerical Methods for Heat & Fluid Flow
PB  - Emerald Group Publishing Limited
SP  - 57
EP  - 67
Y2  - 2024/09/21
ER  -