Open AccessA NUMERICAL TREATMENT OF GENERALIZED HUXLEY
Author(s) -
Gonca Çelikten
Publication year - 2021
Publication title -
journal of science and arts
Language(s) - English
Resource type - Journals
eISSN - 2068-3049
pISSN - 1844-9581
DOI - 10.46939/j.sci.arts-21.4-a14
Subject(s) - von neumann stability analysis , mathematics , numerical analysis , logarithm , stability (learning theory) , numerical stability , von neumann architecture , scheme (mathematics) , finite difference method , crank–nicolson method , mathematical analysis , computer science , pure mathematics , machine learning
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.