Solving the nonlinear Camassa Holm equation using quartic trigonometric B-spline collocation method

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...

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Bibliographic Details
Main Authors: Hanoon, Alaa, Rahan, Nur Nadiah Mohd, Hamid, Nur Nadiah Abd, Ismail, Ahmad Izani Md
Format: Conference Proceeding
Language:English
Subjects:
Basis functions
Collocation methods
Online Access:Get full text
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Summary: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.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5041565