Numerical Solutions of the Improved Boussinesq Equation by the Galerkin Quadratic B-Spline Finite Element Method

被引：13

作者：

Karaagac, Berat ^{[1
]}

Ucar, Yusuf ^{[2
]}

Esen, Alaattin ^{[2
]}

机构：

[1] Adiyaman Univ, Fac Educ Sci, Dept Math Educ, TR-2230 Adiyaman, Turkey

[2] Inonu Univ, Fac Arts & Sci, Dept Math, TR-44210 Malatya, Turkey

来源：

FILOMAT | 2018年 / 32卷 / 16期

关键词：

Improved Boussinesq equation; finite element method; Galerkin method; quadratic B-spline; solitary waves; SCHEME;

D O I：

10.2298/FIL1816573K

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are going to obtain numerical solutions of the improved Boussinesq equation with the aid of Galerkin quadratic B-spline finite element method. To test the accuracy and efficiency of the current method, four test problems have been used. These are solitary wave movement, interaction of two solitary waves, wave break-up and blow-up of solutions. Their results have been compared with those available in the literature for different values of space and time steps. Also, the error norms L-2 and L-infinity have been computed and presented in comparison.

引用

页码：5573 / 5583

页数：11

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