Analytical solutions for the fractional nonlinear cable equation using a modified'homotopy perturbation and separation of variables methods
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 1
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In this paper, we first introduce a new homotopy perturbation method for solving a fractional order nonlinear cable equation. By applying proposed method the nonlinear equation it is changed to linear equation for per iteration of homotopy perturbation method. Then, we solve obtained problems with separation method. In examples, we illustrate that the exact solution is obtained in one iteration by convenience separating of source term in given equation.
@article{ZVMMF_2016_56_1_a6,
author = {S. Irandoust-pakchin and M. Javidi and H. Kheiri},
title = {Analytical solutions for the fractional nonlinear cable equation using a modified'homotopy perturbation and separation of variables methods},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {124},
publisher = {mathdoc},
volume = {56},
number = {1},
year = {2016},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_1_a6/}
}
TY - JOUR AU - S. Irandoust-pakchin AU - M. Javidi AU - H. Kheiri TI - Analytical solutions for the fractional nonlinear cable equation using a modified'homotopy perturbation and separation of variables methods JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2016 SP - 124 VL - 56 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_1_a6/ LA - en ID - ZVMMF_2016_56_1_a6 ER -
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S. Irandoust-pakchin; M. Javidi; H. Kheiri. Analytical solutions for the fractional nonlinear cable equation using a modified'homotopy perturbation and separation of variables methods. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 1. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_1_a6/