An implicit fourth order difference method for viscous flows
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- by Daniel S. Watanabe and J. Richard Flood PDF
- Math. Comp. 28 (1974), 27-32 Request permission
Abstract:
A new implicit finite-difference scheme for viscous flows is presented. The scheme is based on Simpson’s rule and two-point Hermite interpolation, is uniformly accurate to fourth order in time and space, and is unconditionally stable according to a Fourier stability analysis. Numerical solutions of Burger’s equation are presented to illustrate the order and accuracy of the scheme.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Math. Comp. 28 (1974), 27-32
- MSC: Primary 65N05
- DOI: https://doi.org/10.1090/S0025-5718-1974-0341892-7
- MathSciNet review: 0341892