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).
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Literature cited
S. K. Godunov and V. S. Ryaben'kii, Introduction to the Theory of Difference Schemes [in Russian], Fizmatgiz, Moscow (1962).
A. A. Samarskii, Zh. Vychisl. Matem. i Matem. Fiz.,5, 3 548–551 (1965).
D. W. Peaceman and H. H. Rachford, J. Soc. Industr. Appl. Math.,3, No. 1, 28–42 (1955).
H. S. Prince, J. C. Cavendish, and R. C. Varga, Soc. Petrol. Engrs. J.,8, No. 3, 293–303 (1968).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol.21, No. 5, pp.929–937, November, 1971.
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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
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DOI: https://doi.org/10.1007/BF01271364