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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Main Authors: Hanoon, Alaa, Rahan, Nur Nadiah Mohd, Hamid, Nur Nadiah Abd, Ismail, Ahmad Izani Md
Format: Conference Proceeding
Language:English
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Basis functions
Collocation methods
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Rahan, Nur Nadiah Mohd
Hamid, Nur Nadiah Abd
Ismail, Ahmad Izani Md
description 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.
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subjects Basis functions
Collocation methods
title Solving the nonlinear Camassa Holm equation using quartic trigonometric B-spline collocation method
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