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Fully discrete approximation of general nonlinear Sobolev equations

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We consider abstract quasilinear evolution equations of Sobolev type in a Hilbert setting. We propose two fully discrete schemes and prove some error estimates under minimal assumptions. Various examples that… Click to show full abstract

We consider abstract quasilinear evolution equations of Sobolev type in a Hilbert setting. We propose two fully discrete schemes and prove some error estimates under minimal assumptions. Various examples that enter into our abstract framework are considered, for each of them our theoretical results are confirmed by several numerical experiments.

Keywords: general nonlinear; discrete approximation; fully discrete; nonlinear sobolev; sobolev equations; approximation general

Journal Title: Afrika Matematika
Year Published: 2019

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