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Journal of Scientific Computing
Erschienen in: Journal of Scientific Computing 1/2020

01.04.2020

A Deuflhard-Type Exponential Integrator Fourier Pseudo-Spectral Method for the “Good” Boussinesq Equation

verfasst von: Chunmei Su, Wenqi Yao

Erschienen in: Journal of Scientific Computing | Ausgabe 1/2020

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Abstract

We propose a Deuflhard-type exponential integrator Fourier pseudo-spectral (DEI-FP) method for solving the “Good” Boussinesq (GB) equation. The numerical scheme is based on a Deuflhard-type exponential integrator and a Fourier pseudo-spectral method for temporal and spatial discretizations, respectively. The scheme is fully explicit and efficient due to the fast Fourier transform. Rigorous error estimates are established for the method without any CFL-type condition constraint. In more details, the method converges quadratically and spectrally in time and space, respectively. Extensive numerical experiments are reported to confirm the theoretical analysis and to demonstrate rich dynamics of the GB equation.
Vorheriger Artikel Legendre–Galerkin Methods for Third Kind VIEs and CVIEs
Nächster Artikel On Efficient Numerical Solution of Linear Algebraic Systems Arising in Goal-Oriented Error Estimates

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Metadaten
Titel
A Deuflhard-Type Exponential Integrator Fourier Pseudo-Spectral Method for the “Good” Boussinesq Equation
verfasst von
Chunmei Su
Wenqi Yao
Publikationsdatum
01.04.2020
Verlag
Springer US
Erschienen in
Journal of Scientific Computing / Ausgabe 1/2020
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI
https://doi.org/10.1007/s10915-020-01192-2

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