Modified variational iteration method for the solution of the time-fractional Nagumo equation

Abstract

To find the numerical solution of the Time-Fractional Nagumo equation, this paper modifies the He’s Variational Iteration Method (VIM) using the newly developed Mamadu-Njoseh polynomials (MNPs) as basis function and modifier. We first decompose the nonlinear part using the correction functional of the VIM, and hence treat both as a single linear equation. The fractional part is handled via the Riemann-Liouville sense. It was discovered that the modified VIM (MVIM) was able to approximate the Time-fractional Nagumo equation to its exact solution as the results of this study were compared with those found in literature