A Fourth-Order Runge-Kutta Method for Numerical Solution of the Kuramoto-Sivashinsky Equation

Authors

  • Nizom Abdurazzokovich Taylanov Jizzakh State Pedagogical Institute, Sh.Rashidov Avenue 4, Jizzax 130100, Uzbekistan
  • Sunatillo Хudoyor o’g’li. Urinov Samarkand State University, University blv. 15, Samarkand 140104, Uzbekistan
  • Jurabek Muzaffar o’g’li Abdiev Physical-Technical Institute, Scientific Association “Physics-Sun”, Uzbek Academy of Sciences, Chingiz Aytmatov Street 2B,Tashkent 100084, Uzbekistan

Keywords:

Kuramoto–Sivashinsky equation, Integration factor, Runge-Kutta method, Exponential time differencing methods

Abstract

We present a numerical method for the Kuramoto-Sivashinsky equation with corresponding initial and boundary conditions. The exponential time differencing Runge-Kutta 4 method is used to solve the diagonal example of the KuramotoSivashinsky equation.

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Published

2022-04-14

Issue

Vol. 7 (2022): ESH

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

A Fourth-Order Runge-Kutta Method for Numerical Solution of the Kuramoto-Sivashinsky Equation. (2022). Eurasian Scientific Herald, 7, 58-61. https://geniusjournals.org/index.php/esh/article/view/996