Exponential B-spline collocation method for numerical solution of the generalized regularized long wave equation

doi:10.1088/1674-1056/24/5/050206

Abstract The aim of the present paper is to present a numerical algorithm for the time-dependent generalized regularized long wave equation with boundary conditions. We semi-discretize the continuous problem by means of the Crank–Nicolson finite difference method in the temporal direction and exponential B-spline collocation method in the spatial direction. The method is shown to be unconditionally stable. It is shown that the method is convergent with an order of O(k²+h²). Our scheme leads to a tri-diagonal nonlinear system. This new method has lower computational cost in comparison to the Sinc-collocation method. Finally, numerical examples demonstrate the stability and accuracy of this method.

Keywords: solitary waves GRLW equation exponential B-spline collocation

Received: 02 November 2014
Revised: 16 December 2014
Accepted manuscript online:

PACS:	02.60.Lj	(Ordinary and partial differential equations; boundary value problems)
	03.65.Ge	(Solutions of wave equations: bound states)

Corresponding Authors: Reza Mohammadi
E-mail: rez.mohammadi@gmail.com, mohammadi@neyshabur.ac.ir

About author: 02.60.Lj; 03.65.Ge

Cite this article:

Reza Mohammadi Exponential B-spline collocation method for numerical solution of the generalized regularized long wave equation 2015 Chin. Phys. B 24 050206

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