Efficient pseudo-spectral solvers for the PKN model of hydrofracturing

Michał Wróbel, Gennady Mishuris

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


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.
Original languageEnglish
Pages (from-to)151-170
Number of pages19
JournalInternational Journal of Fracture
Issue number1-2
Early online date02 Apr 2013
Publication statusPublished - Nov 2013


  • Hydrofracturing
  • PKN model
  • Numerical modelling


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