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Numerical Accuracy for Diffusion Problems

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Computational Hydraulics
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Abstract

To study the numerical accuracy for diffusion problems, it is no longer sufficient to consider one sinusoidal wave, as in previous chapters. You must take into account that an arbitrary function, acting as initial condition, can be thought to be built up from a series of sinusoidal functions, which is called a Fourier series. As an example take a block function with length 2L (Fig. 8.1).

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© 1989 Springer-Verlag Berlin Heidelberg

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Vreugdenhil, C.B. (1989). Numerical Accuracy for Diffusion Problems. In: Computational Hydraulics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-95578-5_8

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  • DOI: https://doi.org/10.1007/978-3-642-95578-5_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50606-5

  • Online ISBN: 978-3-642-95578-5

  • eBook Packages: Springer Book Archive

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