A Fourier pseudospectral method for a generalized improved Boussinesq equation. Issue 4 (29th September 2014)

• Record Type: Journal Article
• Authors: Borluk, Handan; Muslu, Gulcin M.
• Is Part Of: Numerical methods for partial differential equations. Volume 31:Issue 4(2015)
• Page Start: 995
• Page End: 1008
• Publication Date: 2014-09-29
• Subjects: Differential equations, Partial -- Numerical solutions -- Periodicals; 515.353
• DOI: 10.1002/num.21928
• Languages: English
• ISSNs: 0749-159X

Abstract

<abstract abstract-type="main"> <title> <x xml:space="preserve">Abstract</x> </title> <p>In this article, we propose a Fourier pseudospectral method for solving the generalized improved Boussinesq equation. We prove the convergence of the semi‐discrete scheme in the energy space. For various power nonlinearities, we consider three test problems concerning the propagation of a single solitary wave, the interaction of two solitary waves and a solution that blows up in finite time. We compare our numerical results with those given in the literature in terms of numerical accuracy. The numerical comparisons show that the Fourier pseudospectral method provides highly accurate results. © 2014 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 31: 995–1008, 2015</p> </abstract>