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arxiv: 1712.02295 · v1 · pith:7KDWK2O4new · submitted 2017-12-06 · 🧮 math.NA · cs.NA

Convergence for PDEs with an arbitrary odd order spatial derivative term

classification 🧮 math.NA cs.NA
keywords convergenceorderarbitraryderivativepdessmoothspatialterm
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We compute the rate of convergence of forward, backward and central finite difference $\theta$-schemes for linear PDEs with an arbitrary odd order spatial derivative term. We prove convergence of the first or second order for smooth and less smooth initial data.

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