EN
A New Algorithm Based on the Decic (tenth degree) B-spline Functions for Numerical Solution of the Equal Width Equation
Öz
In this study, a new algorithm is introduced for the numerical solution of equal width (EW) equation. This algorithm is created by using the collocation finite element method based on decic B-spline functions for the space discretization of the EW equation and the Crank-Nicolson method for the time discretization of his equation. The obtained results are compared with the previous ones to see the efficiency and accuracy of the proposed method.
Anahtar Kelimeler
Kaynakça
- [1] Morrison, P.J., Meiss, J.D., Carey, J.R., "Scattering of RLW solitary waves", Physica 11D (1984) : 324-336.
- [2] Gardner, L.R.T., Gardner, G.A., "Solitary waves of the equal width wave equation", Journal of Computational Physics 101 (1992) : 218-223.
- [3] Irk, D., "B-Spline Galerkin solutions for the equal width equation", Physics of Wave Phenomena 20(2) (2012) : 122-130.
- [4] Dağ, İ., Saka, B., Irk, D., "Galerkin method for the numerical solution of the RLW equation using quintic B-splines", Journal of Computational and Applied Mathematics 190 (2006) : 532-547.
- [5] Saka, B., "A finite element method for equal width equation", Applied Mathematics and Computation 175 (2006) : 730-747.
- [6] Saka, B., Dag, I., Dereli, Y., Korkmaz, A., "Three different methods for numerical solution of the EW equation", Engineering analysis with boundary elements 32 (2008) : 556-566.
- [7] Dag, I., Irk, D., Boz, A., "Simulation of EW wave generation via quadratic B-spline finite element method", International Journal of Mathematics and Statistics 1 (A07) (2007) : 46-59.
- [8] Esen, A., "A numerical solution of the equal width wave equation by a lumped Galerkin method", Applied Mathematics and Computation 168 (2005) : 270-282.
Ayrıntılar
Birincil Dil
İngilizce
Konular
Matematik
Bölüm
Araştırma Makalesi
Yazarlar
Yayımlanma Tarihi
30 Aralık 2022
Gönderilme Tarihi
14 Şubat 2022
Kabul Tarihi
28 Temmuz 2022
Yayımlandığı Sayı
Yıl 2022 Cilt: 7 Sayı: 3
APA
Zorsahin Gorgulu, M. (2022). A New Algorithm Based on the Decic (tenth degree) B-spline Functions for Numerical Solution of the Equal Width Equation. Journal of Engineering Technology and Applied Sciences, 7(3), 185-194. https://doi.org/10.30931/jetas.1072151
AMA
1.Zorsahin Gorgulu M. A New Algorithm Based on the Decic (tenth degree) B-spline Functions for Numerical Solution of the Equal Width Equation. Journal of Engineering Technology and Applied Sciences. 2022;7(3):185-194. doi:10.30931/jetas.1072151
Chicago
Zorsahin Gorgulu, Melis. 2022. “A New Algorithm Based on the Decic (tenth degree) B-spline Functions for Numerical Solution of the Equal Width Equation”. Journal of Engineering Technology and Applied Sciences 7 (3): 185-94. https://doi.org/10.30931/jetas.1072151.
EndNote
Zorsahin Gorgulu M (01 Aralık 2022) A New Algorithm Based on the Decic (tenth degree) B-spline Functions for Numerical Solution of the Equal Width Equation. Journal of Engineering Technology and Applied Sciences 7 3 185–194.
IEEE
[1]M. Zorsahin Gorgulu, “A New Algorithm Based on the Decic (tenth degree) B-spline Functions for Numerical Solution of the Equal Width Equation”, Journal of Engineering Technology and Applied Sciences, c. 7, sy 3, ss. 185–194, Ara. 2022, doi: 10.30931/jetas.1072151.
ISNAD
Zorsahin Gorgulu, Melis. “A New Algorithm Based on the Decic (tenth degree) B-spline Functions for Numerical Solution of the Equal Width Equation”. Journal of Engineering Technology and Applied Sciences 7/3 (01 Aralık 2022): 185-194. https://doi.org/10.30931/jetas.1072151.
JAMA
1.Zorsahin Gorgulu M. A New Algorithm Based on the Decic (tenth degree) B-spline Functions for Numerical Solution of the Equal Width Equation. Journal of Engineering Technology and Applied Sciences. 2022;7:185–194.
MLA
Zorsahin Gorgulu, Melis. “A New Algorithm Based on the Decic (tenth degree) B-spline Functions for Numerical Solution of the Equal Width Equation”. Journal of Engineering Technology and Applied Sciences, c. 7, sy 3, Aralık 2022, ss. 185-94, doi:10.30931/jetas.1072151.
Vancouver
1.Melis Zorsahin Gorgulu. A New Algorithm Based on the Decic (tenth degree) B-spline Functions for Numerical Solution of the Equal Width Equation. Journal of Engineering Technology and Applied Sciences. 01 Aralık 2022;7(3):185-94. doi:10.30931/jetas.1072151
Cited By
INTEGRATION OF TRIGONOMETRIC QUARTIC B-SPLINE COLLOCATION APPROACH AND ADAMS-MOULTON SCHEME TO SOLVE THE EQUAL WIDTH EQUATION
Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering
https://doi.org/10.18038/estubtda.1635458