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A novel difference schemes for analyzing the fractional Navier-Stokes equations Cover

A novel difference schemes for analyzing the fractional Navier-Stokes equations

Open Access
|Sep 2017

References

  1. [1] D. Baleanu, K. Diethelm, E. Scalas, J. J. Trujillo, Fractional calculus models and numerical methods, World Scientific, Singapore, 2012.10.1142/8180
  2. [2] K. Sayevand, K. Pichaghchi, Successive approximation: A survey on stable manifold of fractional differential systems, Fract. Calculus Appl. Anal., 18 (3), 2554-2556 (2015).
  3. [3] A. A. Samarskii, A. V. Gulin, Stability of difference schemes, Nauka, Moscow, 1973.
  4. [4] K. Shkhanukov, On the convergence of difference schemes for differential equations with a fractional derivative, Dokl. Akad. Nauk, 348, 2554-2556 (1996).
  5. [5] C. Tadjeran, M. Meerschaert, H.P. Scheffer, A second-order accurate numerical approximation for the fractional diffusion equation, J. Comput. Phys., 213 (1), 205-213 (2006).10.1016/j.jcp.2005.08.008
  6. [6] M. Marin, An evolutionary equation in thermoelasticity of dipolar bodies J. Math.l Phys., A.I.P., 40(3), 1391-1399 (1999).10.1063/1.532809
  7. [7] M. Marin, R. Agarwal, S. Mahmoud, Nonsimple material problems addressed by the Lagrange's identity, Bound. Value Prob., 2013: doi: 10.1186/1687-2770-2013-13
  8. [8] S. Momani, Z. Odibat, Analytical solution of a time-fractional Navier - Stokes equation by Adomian decomposition method, Appl. Math. Comput., 177, 488-494 (2006).
  9. [9] M. El-Shahed, A. Salem, On the generalized Navier - Stokes equations, Appl. Math. Comput., 156, 287-293 (2004).
  10. [10] H. Jafari, H. Tajadodi, D. Baleanu, A modified variational iteration method for solving fractional Riccati differential equation by Adomian polynomials, Frac. Cal. Appli. Anal., 16 (1) , 109-122 (2013).10.2478/s13540-013-0008-9
DOI: https://doi.org/10.1515/auom-2017-0015 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 195 - 206
Submitted on: Jan 21, 2015
Accepted on: Jan 3, 2016
Published on: Sep 21, 2017
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2017 Khosro Sayevand, Dumitru Baleanu, Fatemeh Sahsavand, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.