An approximate solution of fractional cable equation by homotopy analysis method


Inc M., Cavlak E., Bayram M.

BOUNDARY VALUE PROBLEMS, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

Özet

In this article, the homotopy analysis method (HAM) is applied to solve the fractional cable equation by the Riemann-Liouville fractional partial derivative. This method includes an auxiliary parameter h which provides a convenient way of adjusting and controlling the convergence region of the series solution. In this study, approximate solutions of the fractional cable equation are obtained by HAM. We also give a convergence theorem for this equation. A suitable value for the auxiliary parameter h is determined and results obtained are presented by tables and figures.