Cubic B-spline Collocation Method for Solving Benjamin-Bona-Mahony Equation

被引：1

作者：

Rahan, Nur Nadiah Mohd ^{[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：

PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND TECHNOLOGY 2018 (MATHTECH 2018): INNOVATIVE TECHNOLOGIES FOR MATHEMATICS & MATHEMATICS FOR TECHNOLOGICAL INNOVATION | 2019年 / 2184卷

关键词：

NUMERICAL-SOLUTION; RLW EQUATION; LONG WAVES;

D O I：

10.1063/1.5136452

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this research, the Benjamin-Bona-Mahony equation is solved numerically using cubic B-spline (CBS) collocation method. Forward difference approximation is used to discretize the time derivative while the CBS function is used to discretize the space dimension. To deal with nonlinearity, the nonlinear term is replaced with a known parameter. At every time level, calculations are repeated two or three times to increase the accuracy of the results. Applying von-Neumann stability analysis, the proposed technique is shown to be unconditionally stable under Crank-Nicolson scheme. Comparison of the numerical results is done with the results from some recent schemes.

引用

页数：6

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