Numerical solutions of generalized equal width and modified korteweg-de vries equations with petrov-galerkin method
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Abstract (EN)
In this thesis, numerical solutions of the generalised equal width and modified Korteweg-de Vries equations are obtained by using the Petrov-Galerkin finite element method with the help of B-spline functions. This thesis consists of four chapters. In the first part of the thesis, Petrov-Galerkin method, B-spline functions, generalised equal width (GEW) equation and modified Korteweg-de Vries (mKdV) equation are given. In the second part of the thesis, numerical solutions of the GEW equation are obtained using the Petrov-Galerkin method. In the third part of the thesis, numerical solutions of the mKdV equation are obtained using the Petrov-Galerkin method. In the fourth part of the thesis, conclusions and recommendations related to the obtained numerical values are given.
Author
Yusuf Tatlısu
How to Cite
Yusuf Tatlısu (Master Thesis). Numerical solutions of generalized equal width and modified korteweg-de vries equations with petrov-galerkin method, 2023, Nevşehir Hacı Bektaş Veli University.
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