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Article Dans Une Revue Communications in Computational Physics Année : 2019

Numerical Analysis of the Midpoint Scheme for the Generalized Benjamin-Bona-Mahony Equation with White Noise Dispersion

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Résumé

We consider a midpoint scheme to approximate analytical solutions to a white noise driven BBM equation that reads du-du(xx)+u(x)circle dw+u(p)u(x)dt=0. We prove the well-posedness of the time-discrete approximation scheme and we provide the strong error order, which is 1.
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hal-03621774 , version 1 (28-03-2022)

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Guillaume Fenger, Olivier Goubet, Youcef Mammeri. Numerical Analysis of the Midpoint Scheme for the Generalized Benjamin-Bona-Mahony Equation with White Noise Dispersion. Communications in Computational Physics, 2019, 26 (5, SI), pp.1397-1414. ⟨10.4208/cicp.2019.js60.02⟩. ⟨hal-03621774⟩
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