Skip to main content
Log in

Method of alternating directions for the solution of parabolic equations with a convective term

  • Published:
Journal of engineering physics Aims and scope

Abstract

For the solution of the differential equation describing the process of heat propagation in an oil stratum we propose a monotonic difference scheme of alternating directions which converges with a rate of O(h2+τ 2).

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Literature cited

  1. S. K. Godunov and V. S. Ryaben'kii, Introduction to the Theory of Difference Schemes [in Russian], Fizmatgiz, Moscow (1962).

    Google Scholar 

  2. A. A. Samarskii, Zh. Vychisl. Matem. i Matem. Fiz.,5, 3 548–551 (1965).

    Google Scholar 

  3. D. W. Peaceman and H. H. Rachford, J. Soc. Industr. Appl. Math.,3, No. 1, 28–42 (1955).

    Google Scholar 

  4. H. S. Prince, J. C. Cavendish, and R. C. Varga, Soc. Petrol. Engrs. J.,8, No. 3, 293–303 (1968).

    Google Scholar 

Download references

Authors

Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol.21, No. 5, pp.929–937, November, 1971.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rimek, F.F. Method of alternating directions for the solution of parabolic equations with a convective term. Journal of Engineering Physics 21, 1450–1456 (1971). https://doi.org/10.1007/BF01271364

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01271364

Keywords

Navigation