Chebyshev collocation method for fractional Newell-Whitehead-Segel equation

Abstract

In this paper, a collocation approach for the fractional Newell-Whitehead-Segel equation is described. The finite difference method is used to discretized the time-fractional derivative, and Chebyshev functions are used for interpolating the spatial derivatives. An a priori error estimate is derived. The stability of the suggested approach is presented. Several numerical examples are provided to show the viability and effectiveness of the suggested approach.

Keywords

• Collocation method
• Newell-Whitehead-Segel equation
• Chebyshev functions
• Fractional partial differential equations
• Nonlinear partial differential equations