Semi-analytical solutions of nonlinear equation modelling reaction in a dispersive medium
This study explores the semi-analytical solutions of the third-order dispersive equation with reaction (Fisher-like) term. Recently, the proposed problem has been exactly solved in the literature. Additionally, the semi-analytical solutions are needed to understand the sensitivity of homotopy based methods in solving the proposed reaction-dispersion equation. Using symbolic computation with carefully chosen perturbation parameters, the semi-analytical solutions are compared with the exact solutions, in order to show the efficiency of homotopy and Padé techniques. Obtained solutions, which can play key role in modelling reaction in a dispersive medium, are illustrated and discussed.
Reaction-dispersion equation; Homotopy Analysis Method; Padé approximation; Semi-analytical solutions
© 2011 Karaelmas Fen ve Mühendislik Dergisi