Spectral methods in time for a class of parabolic partial differential equations
Journal Article
·
· Journal of Computational Physics; (United States)
- Michigan Technological Univ., Houghton, MI (United States)
- Northwestern Univ., Evanston, IL (United States)
- MIT, Cambridge, MA (United States)
In this paper, we introduce a fully spectral solution for the partial differential equation u[sub t] + uu[sub x] + vu[sub xx] + [mu]u[sub xxx] + [lambda]u[sub xxxx] = O. For periodic boundary conditions in space, the use of a Fourier expansion in x admits of a particularly efficient algorithm with respect to expansion of the time dependence in a Chebyshev series. Boundary conditions other than periodic may still be treated with reasonable, though lesser, efficiency. for all cases, very high accuracy is attainable at moderate computational cost relative to the expense of variable order finite difference methods in time. 14 refs., 9 figs.
- OSTI ID:
- 7049037
- Journal Information:
- Journal of Computational Physics; (United States), Vol. 102:1; ISSN 0021-9991
- Country of Publication:
- United States
- Language:
- English
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