Darvishi, ElhamBaleanu, DumitruHashemi, Mir Sajjad2018-09-252025-09-182018-09-252025-09-182016Hashemi, M.S., Darvishi, E., Baleanu, D. (2016). A geometric approach for solving the density-dependent diffusion Nagumo equation. Advance in Difference Equations. http://dx.doi.org/10.1186/s13662-016-0818-21687-1847https://doi.org/10.1186/s13662-016-0818-2https://hdl.handle.net/20.500.12416/11806Hashemi, Mir Sajjad/0000-0002-5529-3125In this paper, some solutions of the density-dependent diffusion Nagumo equation are obtained by using a new approach, the Lie symmetry group-preserving scheme (LSGPS). The effects of various model parameters on the solution are investigated graphically using LSGPS. Finally, a different reduction method of PDEs is applied to construct two new analytical solutions and a first integral of the Nagumo equation.eninfo:eu-repo/semantics/openAccessGroup-Preserving SchemeMinkowski SpaceReduction MethodArticle10.1186/s13662-016-0818-22-s2.0-84962159499