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, vol.43, no.1, pp.112-125, 2019 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 43 Issue: 1
  • Publication Date: 2019
  • Doi Number: 10.3906/mat-1804-55
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.112-125
  • Keywords: Galerkin method, quartic trigonometric B-spline, regularized long wave equation, multistep methods, GALERKIN METHOD, RLW EQUATION, SOLITARY WAVES
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

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.