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Weighted Time-Semidiscretization Quasilinearization Method for Solving Rihards’ Equation

  • Miglena N. Koleva
  • Lubin G. VulkovEmail author
Conference paper
  • 76 Downloads
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11958)

Abstract

This paper concerns efficient \(\sigma \) - weighted (\(0<\sigma <1\)) time-semidiscretization quasilinearization technique for numerical solution of Richards’ equation. We solve the classical and a new \(\alpha \) - time-fractional (\(0<\alpha <1\)) equation, that models anomalous diffusion in porous media. High-order approximation of the \(\alpha =2(1-\sigma )\) fractional derivative is applied. Numerical comparison results are discussed.

Notes

Acknowledgements

This research is supported by the Bulgarian National Science Fund under Bilateral Project DNTS/Russia 02/12 from 2018.

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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.University of RuseRuseBulgaria

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