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

Dursun Irk | Zendy; Pınar KESKİN YILDIZ | Zendy; Melis Zorşahin Görgülü | Zendy

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

Author(s) -

Dursun Irk,

Pınar KESKİN YILDIZ,

Melis Zorşahin Görgülü

Publication year - 2019

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1804-55

Subject(s) - quartic function , mathematics , discretization , integration using euler's formula , b spline , trigonometric functions , differentiation of trigonometric functions , trigonometric polynomial , mathematical analysis , trigonometry , trigonometric integral , galerkin method , finite element method , algorithm , geometry , pure mathematics , polynomial , physics , linear interpolation , bicubic interpolation , thermodynamics

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.

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