A Geometric Approach for Solving the Density-Dependent Diffusion Nagumo Equation
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Date
2016
Journal Title
Journal ISSN
Volume Title
Publisher
Springer international Publishing Ag
Open Access Color
GOLD
Green Open Access
No
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Publicly Funded
No
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Impulse
Top 10%
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Top 10%
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Top 10%
Abstract
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.
Description
Hashemi, Mir Sajjad/0000-0002-5529-3125
ORCID
Keywords
Group-Preserving Scheme, Minkowski Space, Reduction Method, Algebra and Number Theory, Applied Mathematics, Analysis, Reaction-diffusion equations, Minkowski space, reduction method, group-preserving scheme
Fields of Science
0103 physical sciences, 01 natural sciences
Citation
Hashemi, 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/s13662-016-0818-2
WoS Q
Q1
Scopus Q
OpenCitations Citation Count
30
Source
Advances in Difference Equations
Volume
2016
Issue
Start Page
End Page
PlumX Metrics
Citations
CrossRef : 4
Scopus : 36
Captures
Mendeley Readers : 3
SCOPUS™ Citations
36
checked on Feb 28, 2026
Web of Science™ Citations
32
checked on Feb 28, 2026
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