Quartic trigonometric B-spline algorithm for numerical solution of the regularized long wave equation

IRK D., Keskin Yildiz P., ZORŞAHİN GÖRGÜLÜ M.

TURKISH JOURNAL OF MATHEMATICS, cilt.43, sa.1, ss.112-125, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.3906/mat-1804-55
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.112-125
  • Anahtar Kelimeler: Galerkin method, quartic trigonometric B-spline, regularized long wave equation, multistep methods, GALERKIN METHOD, RLW EQUATION, SOLITARY WAVES
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

In this paper, an application of the quartic trigonometric B-spline finite element method is used to solve the regularized long wave equation numerically. This approach involves a Galerkin method based on the quartic trigonometric B-spline function in space discretization together with second and fourth order schemes in time discretization. The accuracy of the proposed methods are demonstrated by test problems and numerical results are compared with the exact solution and some previous results.