NUMERICAL SOLUTIONS OF BOUSSINESQ TYPE EQUATIONS BY MESHLESS METHODS

Year 2024, Volume: 25 Issue: 3, 471 - 484, 30.09.2024

Murat Arı , Yılmaz Dereli

https://doi.org/10.18038/estubtda.1485966

Abstract

In this paper, two different meshfree method with radial basis functions (RBFs) is proposed to solve Boussinesq-type (Bq) equations. The basic conservative properties of the equation are investigated by computing the numerical values of the motion’s invariants. The accuracy of the method is tested using computational tests to simulate solitary waves in terms of L_∞ error norm. The outcomes are contrasted with analytical solution and a few other earlier studies in the literature. The results show that meshless methods are very effective and accurate.

Keywords

Radial basis function, Collocation method, Method of lines, Soliton, Boussinesq equation

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