A NUMERICAL SOLUTION OF NONLINEAR FRACTIONAL NEWELL-WHITEHEAD-SEGEL EQUATION USING NATURAL TRANSFORMMUHAMMAD NADEEM, JI-HUAN HE, CHUN-HUI HE, HAMID M. SEDIGHI, ALI H. SHIRAZI (pp. 168-182)
Abstract.In this paper, we develop an accurate and efficient natural transform homotopy per- turbation method for obtaining the numerical solution of nonlinear fractional Newell-Whitehead- Segel equation arise in various physical phenomena such as fluid mechanics, solid-state physics, optics, plasma physics, dispersion and chemical kinetics. We apply natural transform coupled with the homotopy perturbation method to bring down the nonlinear terms for obtaining the approximate solution.
Keywords:natural transform, approximate solution, homotopy perturbation method, fractional differential equations.