TY - JOUR TI - New method for investigating the density-dependent diffusion Nagumo equation AU - Akgül Ali AU - Hashemi Mir Sajjad AU - Inc Mustafa AU - Baleanu Dumitru AU - Khan Hasib JN - Thermal Science PY - 2018 VL - 22 IS - 11 SP - 143 EP - 152 PT - Article AB - We apply reproducing kernel method to the density-dependent diffusion Nagumo equation. Powerful method has been applied by reproducing kernel functions. The approximations to the exact solution are obtained. In particular, series solutions are obtained. These solutions demonstrate the certainty of the method. The results acquired in this work conceive many attracted behaviors that assure further work on the Nagumo equation.