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- Title
Efficient pseudo-spectral solvers for the PKN model of hydrofracturing.
- Authors
Wrobel, Michal; Mishuris, Gennady
- Abstract
In the paper, a novel algorithm employing pseudo-spectral approach is developed for the PKN model of hydrofracturing. The respective solvers compute both the solution and its temporal derivative. In comparison with conventional solvers, they demonstrate significant cost effectiveness in terms of balance between the accuracy of computations and densities of the temporal and spatial meshes. Various fluid flow regimes are considered.
- Subjects
SPECTRAL theory; MATHEMATICAL models; ALGORITHMS; DERIVATIVES (Mathematics); MESHFREE methods; FLUID flow; ACCURACY
- Publication
International Journal of Fracture, 2013, Vol 184, Issue 1/2, p151
- ISSN
0376-9429
- Publication type
Academic Journal
- DOI
10.1007/s10704-013-9847-y