ANALYTICAL SOLUTION OF TIME-FRACTIONAL NONLINEAR BENJAMIN-BONA-MAHONY EQUATION BY RESIDUAL POWER SERIES METHOD

Abstract

In this paper a new iterative technique, named as residual power series (RPS) method, is applied to find the approximate solution of the nonlinear time-fractional Benjamin-Bona-Mahony (BBM) equation. The results obtained by numerical experiments are compared with the analytical solutions to confirm the accuracy and efficiency of the proposed technique. AMS Subject Classification: 41A58, 34A08, 26A33