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.
Galerkin method, quartic trigonometric B-spline, regularized long wave equation, multistep methods
IRK, DURSUN; YILDIZ, PINAR KESKİN; and GÖRGÜLÜ, MELİS ZORŞAHİN
"Quartic trigonometric B-spline algorithm fornumerical solution of the regularized long wave equation,"
Turkish Journal of Mathematics: Vol. 43:
1, Article 9.
Available at: https://journals.tubitak.gov.tr/math/vol43/iss1/9