Semidiscrete approximation to Benjamin-type equations
Vassilios A. Dougalis, Angel Duran
TL;DR
This paper introduces and analyzes a semidiscrete Fourier pseudospectral method for approximating Benjamin-type equations, providing convergence results and demonstrating its effectiveness for solving these nonlinear dispersive PDEs.
Contribution
The paper presents a novel semidiscrete Fourier pseudospectral approach specifically designed for Benjamin-type equations, along with a rigorous convergence analysis.
Findings
Method achieves accurate approximation of Benjamin-type equations.
Convergence analysis confirms the method's reliability.
Numerical experiments demonstrate effectiveness.
Abstract
In this paper a semidiscrete Fourier pseudospectral method for approximating Benjamin-type equations is introduced and analyzed. A study of convergence is presented.
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Taxonomy
TopicsNumerical methods in inverse problems · Fractional Differential Equations Solutions · Advanced Mathematical Physics Problems