Abstract
Compact finite differencing is a means of achieving high order discretizations of partial differential equations without an enlargement of the bandwidth of the resulting set of discretized equations. For second order problems in one space dimension a discretization having fourth order accuracy can be constructed. An algorithm to develop these discretizations is presented and the resulting methods are compared to standard finite differences on some one-dimensional test problems. In all cases the compact formulations are faster for a given accuracy and more accurate for a fixed number of discretization points.
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© 1996 Springer-Verlag Berlin Heidelberg
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Dieterich, E.E., Eigenberger, G. (1996). Compact Finite Difference Methods for the Solution of Chemical Engineering Problems. In: Keil, F., Mackens, W., Voß, H., Werther, J. (eds) Scientific Computing in Chemical Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80149-5_5
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DOI: https://doi.org/10.1007/978-3-642-80149-5_5
Publisher Name: Springer, Berlin, Heidelberg
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