KaydedilenlerDerginizi ekleyin

Dergiler / Journal of Engineering Technology and Applied Sciences / 2022 / Cilt: 7 - Sayı: 3

A New Algorithm Based on the Decic (tenth degree) B-spline Functions for Numerical Solution of the Equal Width Equation

Melis ZORSAHİN GORGULU
Sayfa
185–194
Yayın Tarihi
2022-12-30
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The obtained results are compared with the previous ones to see the efficiency and accuracy of the proposed method.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this study, a new algorithm is introduced for the numerical solution of equal width (EW) equation.
📊
Temel Bulgular & Veri: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.
💡
Sonuç & Katkı:The obtained results are compared with the previous ones to see the efficiency and accuracy of the proposed method.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Collocation method · Crank-Nicolson method · decic (tenth degree) B-spline function

Abstract

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.

🔖

Bu Makaleye Atıf Yap

GORGULU, M. Z. (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, Cilt: 7 - Sayı: 3, 185–194. https://ajindex.com/articles/860518

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (16)

  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
  9. Raslan, K.R., "Collocation method using quartic B-spline for the equal width (EW) equation", Applied Mathematics and Computation 168(2) (2005): 795-805
  10. Dağ, İ., Saka, B., "A cubic B-spline collocation method for the EW equation", Mathematical and Computational Applications 90 (2004): 381-392
  11. Dag, I., Ersoy, O., "The exponential cubic B-spline algorithm for equal width equation", Advanced Studies in Contemporary Mathematics 25(4) (2015): 525-535
  12. Yağmurlu, N.M., Karakaş, A.S., "Numerical solutions of the equal width equation by trigonometric cubic B-spline collocation method based on Rubin-Graves type linearization", Numerical Methods for Partial Differential Equations 36(5) (2020): 1170-1183
  13. Irk, D., Saka, B., Dağ, İ., "Cubic spline collocation method for the equal width equation", Hadronic Journal Supplement 18 (2003): 201-214
  14. Saka, B., Irk, D., Dağ, İ., "A numerical study of the equal width equation", Hadronic Journal Supplement 18 (2003): 99-116
  15. Banaja, M.A., Bakodah, H.O., "Runge-Kutta integration of the equal width wave equation using the method of lines", Mathematical Problems in Engineering 2015 (2015): Article ID 274579
  16. Inan, B., Bahadır, A.R., "A numerical solution of the equal width wave equation u