Nonic B-spline algorithms for numerical solution of the Kawahara equation
Yıl: 2022 Cilt: 46 Sayı: 7 Sayfa Aralığı: 2890 - 2901 Metin Dili: İngilizce DOI: 10.55730/1300-0098.3307 İndeks Tarihi: 12-12-2022
Nonic B-spline algorithms for numerical solution of the Kawahara equation
Öz: In this paper, the nonic (9th order) B-spline functions which have not been used before for the numerical solutions of the partial differential equations by finite element methods are used to solve numerically the Kawahara equation. These approaches involve the collocation and Galerkin finite element methods based on the nonic B-spline functions in space discretization and second order scheme (Crank-Nicolson method) in time discretization. To see the accuracy of the proposed methods three test problems are demonstrated and the obtained numerical results for both of the methods are compared with the exact solution of the Kawahara equation.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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| APA | Zorsahin Gorgulu M (2022). Nonic B-spline algorithms for numerical solution of the Kawahara equation. , 2890 - 2901. 10.55730/1300-0098.3307 |
| Chicago | Zorsahin Gorgulu Melis Nonic B-spline algorithms for numerical solution of the Kawahara equation. (2022): 2890 - 2901. 10.55730/1300-0098.3307 |
| MLA | Zorsahin Gorgulu Melis Nonic B-spline algorithms for numerical solution of the Kawahara equation. , 2022, ss.2890 - 2901. 10.55730/1300-0098.3307 |
| AMA | Zorsahin Gorgulu M Nonic B-spline algorithms for numerical solution of the Kawahara equation. . 2022; 2890 - 2901. 10.55730/1300-0098.3307 |
| Vancouver | Zorsahin Gorgulu M Nonic B-spline algorithms for numerical solution of the Kawahara equation. . 2022; 2890 - 2901. 10.55730/1300-0098.3307 |
| IEEE | Zorsahin Gorgulu M "Nonic B-spline algorithms for numerical solution of the Kawahara equation." , ss.2890 - 2901, 2022. 10.55730/1300-0098.3307 |
| ISNAD | Zorsahin Gorgulu, Melis. "Nonic B-spline algorithms for numerical solution of the Kawahara equation". (2022), 2890-2901. https://doi.org/10.55730/1300-0098.3307 |
| APA | Zorsahin Gorgulu M (2022). Nonic B-spline algorithms for numerical solution of the Kawahara equation. Turkish Journal of Mathematics, 46(7), 2890 - 2901. 10.55730/1300-0098.3307 |
| Chicago | Zorsahin Gorgulu Melis Nonic B-spline algorithms for numerical solution of the Kawahara equation. Turkish Journal of Mathematics 46, no.7 (2022): 2890 - 2901. 10.55730/1300-0098.3307 |
| MLA | Zorsahin Gorgulu Melis Nonic B-spline algorithms for numerical solution of the Kawahara equation. Turkish Journal of Mathematics, vol.46, no.7, 2022, ss.2890 - 2901. 10.55730/1300-0098.3307 |
| AMA | Zorsahin Gorgulu M Nonic B-spline algorithms for numerical solution of the Kawahara equation. Turkish Journal of Mathematics. 2022; 46(7): 2890 - 2901. 10.55730/1300-0098.3307 |
| Vancouver | Zorsahin Gorgulu M Nonic B-spline algorithms for numerical solution of the Kawahara equation. Turkish Journal of Mathematics. 2022; 46(7): 2890 - 2901. 10.55730/1300-0098.3307 |
| IEEE | Zorsahin Gorgulu M "Nonic B-spline algorithms for numerical solution of the Kawahara equation." Turkish Journal of Mathematics, 46, ss.2890 - 2901, 2022. 10.55730/1300-0098.3307 |
| ISNAD | Zorsahin Gorgulu, Melis. "Nonic B-spline algorithms for numerical solution of the Kawahara equation". Turkish Journal of Mathematics 46/7 (2022), 2890-2901. https://doi.org/10.55730/1300-0098.3307 |
