ANALYTICAL STUDY OF FRACTIONAL NEWELL-WHITEHEAD-SEGEL EQUATION USING AN EFFICIENT METHOD

In this work, four variants of time-fractional nonlinear Caputo-type Newell-Whitehead-Segel (NWS) problem are solved by fractional variational iteration method. This equation results as mathematical model of many important physical reaction-diffusion processes and pattern formation theory in diverse fields of chemical engineering, mechanical engineering, bio-engineering, biology and fluid mechanics, and the numerical treatments of these models are of great scientific significance and practical values. The received outcomes and plotted graphs express that the carried out technique is unpretentious, competent, and easily applicable for nonlinear fractional-order Partial differential equations (PDEs).