NUMERICAL SOLUTIONS OF BOUSSINESQ TYPE EQUATIONS BY MESHLESS METHODS

Murat Arı; Yılmaz Dereli

doi:10.18038/estubtda.1485966

EN

NUMERICAL SOLUTIONS OF BOUSSINESQ TYPE EQUATIONS BY MESHLESS METHODS

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

References

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Details

Primary Language

English

Subjects

Numerical Analysis

Journal Section

Research Article

Authors

Murat Arı ^*
0000-0002-4039-5970
Türkiye

Yılmaz Dereli
0000-0003-0149-0542
Türkiye

Publication Date

September 30, 2024

Submission Date

May 19, 2024

Acceptance Date

August 15, 2024

Published in Issue

Year 2024 Volume: 25 Number: 3

DOI

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

IZ

https://izlik.org/JA94PR95AB

APA

Arı, M., & Dereli, Y. (2024). NUMERICAL SOLUTIONS OF BOUSSINESQ TYPE EQUATIONS BY MESHLESS METHODS. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering, 25(3), 471-484. https://doi.org/10.18038/estubtda.1485966

AMA

1.Arı M, Dereli Y. NUMERICAL SOLUTIONS OF BOUSSINESQ TYPE EQUATIONS BY MESHLESS METHODS. Estuscience - Se. 2024;25(3):471-484. doi:10.18038/estubtda.1485966

Chicago

Arı, Murat, and Yılmaz Dereli. 2024. “NUMERICAL SOLUTIONS OF BOUSSINESQ TYPE EQUATIONS BY MESHLESS METHODS”. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering 25 (3): 471-84. https://doi.org/10.18038/estubtda.1485966.

EndNote

Arı M, Dereli Y (September 1, 2024) NUMERICAL SOLUTIONS OF BOUSSINESQ TYPE EQUATIONS BY MESHLESS METHODS. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering 25 3 471–484.

IEEE

[1]M. Arı and Y. Dereli, “NUMERICAL SOLUTIONS OF BOUSSINESQ TYPE EQUATIONS BY MESHLESS METHODS”, Estuscience - Se, vol. 25, no. 3, pp. 471–484, Sept. 2024, doi: 10.18038/estubtda.1485966.

ISNAD

Arı, Murat - Dereli, Yılmaz. “NUMERICAL SOLUTIONS OF BOUSSINESQ TYPE EQUATIONS BY MESHLESS METHODS”. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering 25/3 (September 1, 2024): 471-484. https://doi.org/10.18038/estubtda.1485966.

JAMA

1.Arı M, Dereli Y. NUMERICAL SOLUTIONS OF BOUSSINESQ TYPE EQUATIONS BY MESHLESS METHODS. Estuscience - Se. 2024;25:471–484.

MLA

Arı, Murat, and Yılmaz Dereli. “NUMERICAL SOLUTIONS OF BOUSSINESQ TYPE EQUATIONS BY MESHLESS METHODS”. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering, vol. 25, no. 3, Sept. 2024, pp. 471-84, doi:10.18038/estubtda.1485966.

Vancouver

1.Murat Arı, Yılmaz Dereli. NUMERICAL SOLUTIONS OF BOUSSINESQ TYPE EQUATIONS BY MESHLESS METHODS. Estuscience - Se. 2024 Sep. 1;25(3):471-84. doi:10.18038/estubtda.1485966

Cited By

A CUBIC HERMITE COLLOCATION APPROACH FOR SOLVING THE KORTEWEG–DE VRIES–BURGERS EQUATION

Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering

https://doi.org/10.18038/estubtda.1743984