Solving the Nonlinear Camassa Holm Equation using Quartic Trigonometric B-Spline Collocation Method

被引：1

作者：

Hanoon, Alaa ^{[1
]}

Rahan, Nur Nadiah Mohd ^{[1
]}

Abd Hamid, Nur Nadiah ^{[1
]}

Ismail, Ahmad Izani Md ^{[1
]}

机构：

[1] Univ Sains Malaysia, Sch Math Sci, Gelugor 11800, Penang, Malaysia

来源：

PROCEEDING OF THE 25TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM25): MATHEMATICAL SCIENCES AS THE CORE OF INTELLECTUAL EXCELLENCE | 2018年 / 1974卷

关键词：

D O I：

10.1063/1.5041565

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this research, quartic trigonometric B-spline (QTBS) collocation method is used to solve the nonlinear Camassa Holm equation. Forward difference approximation is used to discretize the time derivative while the QTBS basis function is used to discretize the space dimension. This method is applied on two test problems using two different schemes, Crank-Nicolson and fully implicit schemes. From the examples, the absolute errors do not exceed 10(-4) and the results are comparable for both Crank-Nicolson and fully implicit schemes.

引用

页数：8

共 12 条

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