Skip to main content
SpringerLink
Log in

ADI Schemes for 2D Subdiffusion Equation

  • Conference paper
  • First Online:
Numerical Analysis and Its Applications (NAA 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10187))

Included in the following conference series:

  • 1742 Accesses

Abstract

An additive and modified factorized finite-difference scheme for an initial-boundary value problem for a two-dimensional subdiffusion equation are proposed. Its stability and convergence are investigated.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Chen, M., Deng, W.: A second-order numerical method for two-dimensional two-sided space fractional convection diffusion equation. Appl. Math. Model. 38, 3244–3259 (2014)

    Article  MathSciNet  Google Scholar 

  2. Delić, A., Hodžić, S., Jovanović, B.: Factorized difference scheme for two-dimensional subdiffusion equation in nonhomogeneous media. Publ. Inst. Math. 99, 1–13 (2016)

    Article  MathSciNet  Google Scholar 

  3. Delić, A., Jovanović, B.S.: Numerical approximation of an interface problem for fractional in time diffusion equation. Appl. Math. Comput. 229, 467–479 (2014)

    MathSciNet  Google Scholar 

  4. Hodžić, S.: Factorized difference scheme for 2D fractional in time diffusion equation. Appl. Anal. Discrete Math. 9, 199–208 (2015)

    Article  MathSciNet  Google Scholar 

  5. Hodžić-Živanovic, S., Jovanović, B.S.: Additive difference scheme for two-dimensional fractional in time diffusion equation. Filomat 31, 217–226 (2017)

    Google Scholar 

  6. Kilbas, A., Srivastava, H., Trujillo, J.: Theory and Applications of Fractional Differential Equations. North-Holland Mathematics Studies, vol. 204. Elsevier Science and Technology, Boston (2006)

    Book  MATH  Google Scholar 

  7. Li, L., Xu, D.: Alternating direction implicit-Euler method for the two-dimensional fractional evolution equation. J. Comput. Phys. 236, 157–168 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  8. Li, X., Xu, C.: A space-time spectral method for the time fractional diffusion equation. SIAM J. Numer. Anal. 47, 2108–2131 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  9. Oldham, B.K., Spanier, J.: The Fractional Calculus. Academic Press, New York (1974)

    MATH  Google Scholar 

  10. Podlubny, I.: Fractional Differential Equations. Academic Press, San Diego (1999)

    MATH  Google Scholar 

  11. Samarskiĭ, A.A.: Theory of Difference Schemes. Pure and Applied Mathematics, vol. 240. Marcel Dekker Inc, New York City (2001)

    Book  MATH  Google Scholar 

  12. Sun, Z.Z., Wu, X.N.: A fully discrete difference scheme for a diffusion-wave system. Appl. Numer. Math. 56, 193–209 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  13. Yao, W., Sun, J., Wu, B., Shi, S.: Numerical simulation of a class of a fractional subdiffusion equation via the alternating direction implicit method. Numer. Methods Partial Differ. Eqn. 32, 531–547 (2016)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgement

This research was supported by Ministry of Education, Science and Technological Development of Republic of Serbia thorough the project No. 174015.

Author information

Authors and Affiliations

  1. Faculty of Mathematics, University of Belgrade, Studentski Trg 16, 11000, Belgrade, Serbia

    Sandra Živanovic & Boško S. Jovanović

Authors
  1. Sandra Živanovic
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Boško S. Jovanović
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Sandra Živanovic .

Editor information

Editors and Affiliations

  1. Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Ivan Dimov

  2. Department of Applied Analysis, Eötvös Loránd University, Budapest, Hungary

    István Faragó

  3. Department of Applied Mathematics and Statistics, University of Rousse, Ruse, Bulgaria

    Lubin Vulkov

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Živanovic, S., Jovanović, B.S. (2017). ADI Schemes for 2D Subdiffusion Equation. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Numerical Analysis and Its Applications. NAA 2016. Lecture Notes in Computer Science(), vol 10187. Springer, Cham. https://doi.org/10.1007/978-3-319-57099-0_38

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-57099-0_38

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-57098-3

  • Online ISBN: 978-3-319-57099-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation