Mots-clés : pseudoparabolic equation
@article{VTPMK_2021_3_a3,
author = {M. KH. Beshtokov},
title = {Economical factorized schemes for third-order pseudoparabolic equations},
journal = {Vestnik Tverskogo gosudarstvennogo universiteta. Seri\^a Prikladna\^a matematika},
pages = {44--57},
year = {2021},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VTPMK_2021_3_a3/}
}
TY - JOUR AU - M. KH. Beshtokov TI - Economical factorized schemes for third-order pseudoparabolic equations JO - Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika PY - 2021 SP - 44 EP - 57 IS - 3 UR - http://geodesic.mathdoc.fr/item/VTPMK_2021_3_a3/ LA - ru ID - VTPMK_2021_3_a3 ER -
M. KH. Beshtokov. Economical factorized schemes for third-order pseudoparabolic equations. Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 3 (2021), pp. 44-57. http://geodesic.mathdoc.fr/item/VTPMK_2021_3_a3/
[1] Hallaire M., “L’eau et la production vegetable”, Institut National de la Recherche Agronomique, 1964, no. 9, 17–29
[2] Chudnovskij A. F., Teplofizika pochv, Nauka Publ., Moscow, 1976, 352 pp. (in Russian)
[3] Barenblatt G. I., Zheltov Yu. P., Kochina I. N., “Ob osnovnykh uravneniyakh filtratsii odnorodnykh zhidkostej v treshchinovatykh porodakh”, Prikladnaya matematika i mekhanika, 25:5 (1960), 852–864 (in Russian)
[4] Dzektser E. S., “Generalization of the equation of motion of ground waters with a free surface”, Soviet Mathematics. Doklady, 202:5 (1972), 108–110 | Zbl
[5] Showalter R. E., Ting T. W., “Pseudoparabolic partial differential equations”, SIAM Journal on Mathematical Analysis, 1970, no. 1, 1–26 | DOI | Zbl
[6] Colton D., “Pseudoparabolic Equations in One Space Variable”, Journal of Differential Equations, 12:3 (1972), 559–565 | DOI | MR | Zbl
[7] Shkhanukov M. Kh., “On a method for solving boundary value problems for a third-order equation”, Soviet Mathematics. Doklady, 256:6 (1982), 1327–1330 (in Russian) | MR
[8] Shkhanukov M. Kh., “n some boundary value problems for a third-order equation and extremal properties of its solutions”, Soviet Mathematics. Doklady, 267:3 (1982), 567–570 (in Russian) | MR | Zbl
[9] Soldatov A. P., Shkhanukov M. Kh., “Boundary value problems with a general nonlocal condition Samarskii A.A. for a high-order pseudoparabolic equation”, Soviet Mathematics. Doklady, 297:3 (1987), 547–552 (in Russian)
[10] Beshtokov M. Kh., “Difference method for solving a nonlocal boundary value prob-lem for a degenerating third-order pseudo-parabolic equation with variable coefficients”, Computational Mathematics and Mathematical Physics, 56:10 (2016), 1763–1777 | DOI | MR | Zbl
[11] Beshtokov M. Kh., “Differential and Difference Boundary Value Problem for Loaded Third-Order Pseudo-Parabolic Differential Equations and Difference Methods for Their Numerical Solution”, Computational Mathematics and Mathematical Physics, 57:12 (2017), 1973–1993 | DOI | MR | Zbl
[12] Vishik M. I., Lyusternik L. A., “Regular degeneration and boundary layer for linear differential equations with a small parameter”, Successes of mathematical sciences, 12:5 (1967), 3–122 (in Russian)
[13] Godunov S. K., Ryabenkij V. S., Raznostnye skhemy, Nauka Publ., Moscow, 1977, 439 pp. (in Russian)
[14] Tkhagapsoev Kh. G., Shkhanukov M. Kh., Khapachev B. S., Abregov M. Kh., “Investigation of contact temperature during dressing of abrasive wheels with a diamond tool”, Superhard materials, 1983, no. 4, 44–49 (in Russian)
[15] Samarskij A. A., Theory of Difference Schemes, Nauka Publ., Moscow, 1983, 616 pp. (in Russian)
[16] Ladyzhenskaya O. A., Boundary value problems of mathematical physics, Nauka Publ., Moscow, 1973, 407 pp. (in Russian)