THERMAL SCIENCE

International Scientific Journal

Ali Akgül

,

Mir Sajjad Hashemi

,

Mustafa Inc

,

Dumitru Baleanu

,

Hasib Khan

NEW METHOD FOR INVESTIGATING THE DENSITY-DEPENDENT DIFFUSION NAGUMO EQUATION

ABSTRACT
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.
KEYWORDS
reproducing kernel functions, Nagumo equation
PAPER SUBMITTED: 2017-06-13
PAPER REVISED: 2017-11-20
PAPER ACCEPTED: 2017-11-27
PUBLISHED ONLINE: 2018-01-07
DOI REFERENCE: https://doi.org/10.2298/TSCI170613280A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2018, VOLUME 22, ISSUE Supplement 1, PAGES [S143 - S152]
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New method for investigating the density-dependent diffusion Nagumo equation

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence