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Numerical solutions of some Rosenau's type equation with B-spline collocation method

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2023
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Abstract (EN)

In the first part of the thesis, general information about B-spline functions, soliton, solitary waves and finite element method is given. In the second part of the thesis, information about Rosenau-KdV and Rosenau-KdV-RLW equations is given. In the third part of the thesis, numerical solutions of Rosenau-KdV equation are obtained with quintic (5th order) B-spline collocation finite elements method. In the fourth part of the thesis, numerical solutions of Rosenau-KdV-RLW equation are found by septic (7th degree) B-spline collocation finite elements method. In the fifth part of the thesis, discussion and suggestions are given.

Author

Özge Tarı

How to Cite

Özge Tarı (Master Thesis). Numerical solutions of some Rosenau's type equation with B-spline collocation method, 2023, Nevşehir Hacı Bektaş Veli University.

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