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

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

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 me...

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Veröffentlicht in:Advances in difference equations 2016-03, Vol.2016 (1), p.1-13, Article 89
Hauptverfasser: Hashemi, Mir Sajjad, Darvishi, Elham, Baleanu, Dumitru
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Construction
Difference and Functional Equations
Difference equations
Diffusion
Functional Analysis
Integrals
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Reduction
Symmetry
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Beschreibung
Zusammenfassung: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.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-016-0818-2