Numerical solutions of some fractional partial differential equations by B-spline method
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Abstract (EN)
This thesis consists of five main sections. In the first section, a literature review is conducted on partial differential equations involving fractional-order derivatives and the finite element method. The second section provides basic definitions and theorems to be used in the implementation of the cubic B-spline method. In the third section, numerical solutions are obtained using the cubic B-spline method for diffusion and diffusion wave equations involving fractional-order derivatives. In the fourth section, numerical solutions are obtained using the cubic B-spline method for hyperbolic partial differential equations involving fractional-order derivatives. The final section consists of discussion and conclusions evaluating the thesis.
Author
Rukiye İnci
Institution
How to Cite
Rukiye İnci (Master Thesis). Numerical solutions of some fractional partial differential equations by B-spline method, 2024, Van Yüzüncü Yıl Üniversity.
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