Skip to main content
Log in

Numerical solution of subsurface moisture transport problems

  • Published:
Journal of Soviet Mathematics Aims and scope Submit manuscript

Abstract

An algorithm is proposed for solving difference problems of subsurface hydromechanics by the alternating triangular method (ATM). For second, third, and mixed boundary-valued problems of subsurface moisture transport in the elastic regime, we use an improved ATM generalization scheme, which has been tested by the authors in application to the first boundary-value problem. The proposed algorithm can be applied to various problems of subsurface mass transport.

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. A. B. Kucherov, Alternating Triangular Iteration Method for Solving Difference Equations [in Russian], Abstract of Thesis, Moscow (1979).

  2. I. I. Lyashko and V. V. Lychman, “Solving mixed boundary-value problems of mathematical physics by the alternating triangular method,” in: Third Ukrainian Symp. on Differential and Integral Equations, 1–3 June 1982 (Abstracts of papers) [in Russian], Odessa (1982).

  3. P. Ya. Polubarinova-Kochina, Theory of Groundwater Motion [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  4. A. A. Samarskii, “An efficient algorithm for numerical solution of systems of differential and algebraic equations,” Zh. Vychisl. Mat. Mat. Fiz.,4, No. 3, 580–585 (1964).

    Google Scholar 

  5. A. A. Samarskii, Theory of Difference Schemes [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  6. A. A. Samarskii and E. S. Nikolaev, Methods of Solution of Grid Equations [in Russian], Nauka, Moscow (1978).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Vychislitel'naya i Prikladnaya Matematika, No. 56, pp. 83–91, 1985.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lychman, V.V., Mistetskii, G.E. Numerical solution of subsurface moisture transport problems. J Math Sci 54, 824–831 (1991). https://doi.org/10.1007/BF01097595

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01097595

Keywords

Navigation