Abstract
This chapter is devoted to the partial differential equations applicable in open channel hydraulics, which can be of hyperbolic or parabolic type. The role of characteristics for hyperbolic equations is underlined. The conditions of well posed solution problem for both types of equations are presented. The finite difference and the finite element methods are introduced. The chapter ends with basic information on the convergence, consistency and stability.
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Szymkiewicz, R. (2010). Partial Differential Equations of Hyperbolic and Parabolic Type. In: Numerical Modeling in Open Channel Hydraulics. Water Science and Technology Library, vol 83. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3674-2_5
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DOI: https://doi.org/10.1007/978-90-481-3674-2_5
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