Numerical Solution for Generalized Fractional Huxley Equation by Using Two Dimensional Haar Wavelet Method

Authors

  • Sami Injrou Tishreen University
  • Ramez Karroum Tishreen University
  • Ali Kafa Tishreen University

Abstract

In this paper, we apply the two dimensional Haar Wavelet method to compute the numerical solutions of the generalized fractional Huxley equation. We present a technique to treat the nonlinear term in the equation based on the block pulse functions. The main feature of two methods is converting the generalized fractional Huxley equation to a system of nonlinear algebraic equations, which can be solved by using any computer software like Matlab. The results of comparison the numerical solution with the exact solution show that the proposed method is effective, simple, having low computation costs and the accuracy of the solution is quite high even in the case of a little number of collocation points.

Author Biographies

Sami Injrou, Tishreen University

Associate Professor, Department of Mathematics, Faculty of Sciences

Ramez Karroum, Tishreen University

Associate Professor, Department of Mathematics, Faculty of Sciences

Ali Kafa, Tishreen University

Master Student, Department of Mathematics, Faculty of Sciences

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Published

2021-01-25

How to Cite

1.
انجرو س, كروم ر, كفا ع. Numerical Solution for Generalized Fractional Huxley Equation by Using Two Dimensional Haar Wavelet Method. TUJ-BA [Internet]. 2021Jan.25 [cited 2024May3];42(6). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/10321

Issue

Vol. 42 No. 6 (2020): Tishreen University Journal for Research and Scientific Studies - Basic Sciences Series

Section

Articles

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