A NUMERICAL TREATMENT OF GENERALIZED HUXLEY
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Published:2021-12-30
Issue:4
Volume:21
Page:1029-1036
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ISSN:2068-3049
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Container-title:Journal of Science and Arts
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language:en
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Short-container-title:J. Sci. Arts
Affiliation:
1. Kafkas University, Faculty of Science and Letters, Department of Mathematics, 36100 Kars, Turkey.
Abstract
In this paper, numerical solutions of generalized Huxley are obtained by using a new scheme: Crank-Nicolson logarithmic finite difference method (CN-LFDM). The efficiency of the presented method is illustrated by a numerical example for different cases of parameters which confirm that obtained results are in good agreement with the exact solutions and numerical solutions obtained by some other methods in literature. The method is analyzed by von-Neumann stability analysis method and it is displayed that the method is unconditionally stable.
Publisher
Valahia University of Targoviste - Journal of Science and Arts
Subject
General Earth and Planetary Sciences,General Environmental Science
Reference17 articles.
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