Analytical Solution for the Time Fractional Newell-Whitehead-Segel Equation by Using Modified Residual Power Series Method

Abstract

The Newell-Whitehead-Segel equation is an important model arising in biology, finance, fluid mechanics and some more processes. Various researchers worked on approximate solution of this model by using different methods. In this paper, the Newell-Whitehead-Segel equation of fractional order is solved by using a generalized Taylor series formula together with residual error function, which is named the residual power series method (RPSM). The illustrative examples are presented to demonstrate the accuracy and effectiveness of the proposed method.