A geometric approach for solving the density-dependent diffusion Nagumo equation

Advances in Difference Equations

Dumitru Baleanu¹  Mir Sajjad Hashemi²  Elham Darvishi³ 

[1] Department of Mathematics, ÇDepartment of Mathematics, Basic Science Faculty, University of Bonab, Bonab, Iran;Young Researchers and Elite Club, Bonab Branch, Islamik Azad University, Bonab, Iran;ankaya University, Ankara, Turkey

关键词: group-preserving scheme;    Minkowski space;    reduction method;   

DOI  :  10.1186/s13662-016-0818-2

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In 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.

【 授权许可】

CC BY