Solving Boussinesq Equation Using Quintic B-spline and Quintic Trigonometric B-spline Interpolation Methods

被引：5
|
作者：
Zakaria, Nur Fateha [1 ]
Abu Hassan, Nuraini [1 ]
Abd Hamid, Nur Nadiah [1 ]
Abd Majid, Ahmad [1 ]
Ismail, Ahmad Izani Md. [1 ]
机构：
[1] Univ Sains Malaysia, Sch Math Sci, Gelugor 11800, Penang, Malaysia
来源：
4TH INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES (ICMS4): MATHEMATICAL SCIENCES: CHAMPIONING THE WAY IN A PROBLEM BASED AND DATA DRIVEN SOCIETY | 2017年 / 1830卷
关键词：
Boussinesq equation; cubic B-spline; cubic trigonometric B-spline; collocation method; SOLITON-SOLUTIONS;
D O I：
10.1063/1.4980904
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The quintic B-spline (QBS) and quintic trigonometric B-spline (QTBS) functions are used to set up the collocation methods in finding solutions for the Boussinesq equation. The QBS and QTBS are applied as interpolating functions in the spatial dimension while the finite difference method (FDM) is used to discretize the time derivative. The nonlinear Boussinesq equation is linearized using Taylor's expansion. The von Neumann stability analysis is used to analyze the schemes and they are shown to be conditionally stable. In order to demonstrate the capability of the schemes, some problems are solved and compared with the analytical solutions and generated results from the FDM. The proposed numerical schemes are found to be accurate.
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页数：10
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