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

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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… Click to show full 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.

Keywords: long wave; quartic trigonometric; trigonometric spline; wave equation; regularized long

Journal Title: TURKISH JOURNAL OF MATHEMATICS
Year Published: 2019

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