Numerical Solution for the Sin-Gordon Equation Using the Finite Difference Method and the Non-Stander Finite Difference Method

Authors

K. R. Raslan, Mathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, EgyptFollow
A. A. Soliman, Department of Mathematics, Faculty of Science, Arish University, Arish,45111, EgyptFollow
Khalid K. Ali, Mathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, EgyptFollow
M. Gaber, Mathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, EgyptFollow
Soma R. Almhdy, Department of Mathematics, Faculty of Science, Arish University, Arish,45111, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

In this paper, We study the non-linear sin Gordon equation as a numerical solution using two methods.: the finite differences method and the non-standard finite differences method. A comparison is presented between the numerical results of both methods.The stability of two schemes is conditionally stable.Some tables and figures are presented to illustrate our results.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/170208

Recommended Citation

R. Raslan, K.; A. Soliman, A.; K. Ali, Khalid; Gaber, M.; and R. Almhdy, Soma (2023) "Numerical Solution for the Sin-Gordon Equation Using the Finite Difference Method and the Non-Stander Finite Difference Method," Applied Mathematics & Information Sciences: Vol. 17: Iss. 2, Article 8.
DOI: http://dx.doi.org/10.18576/amis/170208
Available at: https://digitalcommons.aaru.edu.jo/amis/vol17/iss2/8