Skip to main content

The Half-Sweep Iterative Alternating Decomposition Explicit (HSIADE) Method for Diffusion Equation

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3314))

Abstract

The primary goal of this paper is to apply the Half-Sweep Iterative Alternating Decomposition Explicit (HSIADE) method for solving one-dimensional diffusion problems. The formulation of the HSIADE method is also derived. Some numerical experiments are conducted that to verify the HSIADE method is more efficient than the Full-Sweep method.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Abdullah, A.R.: The Four Explicit Decoupled Group (EDG) Method: A Fast Poisson Solver. Intern. Journal of Computers Mathematics 38, 61–70 (1991)

    Article  MATH  Google Scholar 

  • Abdullah, A.R., Ali, N.H.M.: A Comparative Study of Parallel Strategies for the Solution of Elliptic PDE’s. Parallel Algorithms and Aplications 10, 93–103 (1996)

    Google Scholar 

  • Evans, D.J., Sahimi, M.S.: The Alternating Group Explicit iterative method (AGE) to solve parabolic and hyperbolic partial differential equations. Ann. Rev. Num. Fluid Mechanic and Heat Trans. 2, 283–389 (1988)

    Google Scholar 

  • Ibrahim, A., Abdullah, A.R.: Solving the two-dimensional diffusion equation by the four point explicit decoupled group (EDG) iterative method. International Journal Computer Mathematics 58, 253–256 (1995)

    Article  MATH  Google Scholar 

  • Sahimi, M.S., Khatim, M.: The Reduced Iterative Alternating Decomposition Explicit (RIADE) Method for the Diffusion Equation. Pertanika J. Sci. & Technol. 9(1), 13–20 (2001)

    Google Scholar 

  • Yousif, W.S., Evans, D.J.: Explicit De-coupled Group iterative methods and their implementations. Parallel Algorithms and Applications 7, 53–71 (2001)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Sulaiman, J., Hasan, M.K., Othman, M. (2004). The Half-Sweep Iterative Alternating Decomposition Explicit (HSIADE) Method for Diffusion Equation. In: Zhang, J., He, JH., Fu, Y. (eds) Computational and Information Science. CIS 2004. Lecture Notes in Computer Science, vol 3314. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30497-5_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-30497-5_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-24127-0

  • Online ISBN: 978-3-540-30497-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics