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

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Published: Apr 14, 2022
Keywords:
Kuramoto–Sivashinsky equation Integration factor Runge-Kutta method Exponential time differencing methods

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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

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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How to Cite
Nizom Abdurazzokovich Taylanov, Sunatillo Хudoyor o’g’li. Urinov, & Jurabek Muzaffar o’g’li Abdiev. (2022). A Fourth-Order Runge-Kutta Method for Numerical Solution of the Kuramoto-Sivashinsky Equation. Eurasian Scientific Herald, 7, 58–61. Retrieved from https://geniusjournals.org/index.php/esh/article/view/996
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Vol. 7 (2022): ESH
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Articles
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