A Fourier pseudospectral method for a generalized improved Boussinesq equation
Copyright policy )A Fourier pseudospectral method for a generalized improved Boussinesq equation
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
- Istanbul Technical University Turkey
- Altınbaş University Turkey
Method of lines for initial value and initial-boundary value problems involving PDEs, fully discrete scheme, convergence, improved Boussinesq equation, Blow-Up, PDEs in connection with fluid mechanics, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, collision of solitary waves, Fourier pseudospectral method, Runge-Kutta scheme, solitary waves, Collision Of Solitary Waves, Semi-Discrete Scheme, numerical experiment, Solitary Waves, The Generalized Improved Boussinesq Equation, Fourier Pseudospectral Method, semidiscrete scheme, Convergence, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, blow-up, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
Method of lines for initial value and initial-boundary value problems involving PDEs, fully discrete scheme, convergence, improved Boussinesq equation, Blow-Up, PDEs in connection with fluid mechanics, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, collision of solitary waves, Fourier pseudospectral method, Runge-Kutta scheme, solitary waves, Collision Of Solitary Waves, Semi-Discrete Scheme, numerical experiment, Solitary Waves, The Generalized Improved Boussinesq Equation, Fourier Pseudospectral Method, semidiscrete scheme, Convergence, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, blow-up, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
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