The generalized solution of a nonlinear degenerate parabolic equation and its numerical computation

Authors

  • Ervin Schechter "Babeş-Bolyai" University, Cluj-Napoca, Romania
Abstract views: 131

Abstract

Not available.

Downloads

Download data is not yet available.

References

Aronsson, Gunnar, Extension of functions satisfying Lipschitz conditions.Ark. Mat. 6 1967 551-561 (1967), MR0217665, https://doi.org/10.1007/bf02591928

Courant, R., Friedrichs, K., Lewy, H., Über die partiellen Differenzengleichungen der mathematischen Physik. (German) Math. Ann. 100 (1928), no. 1, 32-74, MR1512478, https://doi.org/10.1007/bf01448839

Descloux, J., On the equation of Boussinesq, Topics in numerical analysis, III, 81-102, Academic Press, 1976.

Friedman, A., Partial differential of parabolic type, Prentice-Hall, Inc. 1964.

Ladyzhenskaia, O.A., Boundary-value problems of the mathematical Physics, nauka, Moscow, 1974 (in Russian).

Ladyzhenskaia, O.A., Solonnikov, V.A., Uraltseva, N.N., Linear and cvasilinear equations of the parabolic type, Nauka, Moscow, 1967 (in Russian).

Lions, J.L., Magenes, E., Problèmes aux limites non homogenes et applications, Vol. I, II, Dunod, 1968.

Lions, J.-L., Quelques méthodes de résolution des problèmes aux limites non linéaires. (French) Dunod; Gauthier-Villars, Paris 1969 xx+554 pp., MR0259693.

Oleinik, O.A., Kalashnikov, A.S., Chou Iui-lin, Equations of the nonstationary filtration type, Izv. AN SSSR Ser. Mat. 25 (5) 461-469, 1958 (in Russian).

Rusanov, M.A., The study of the difference method for the solution of a parabolic equation with degenerecy, Izv. AN Azerb. SSR, Ser. Fiz-Teh i Mat. no.3, 27-31, 1981.

Schechter, Ervin, The convergence of the explicit difference approximation to solve the Cauchy-Dirichlet problem for nonlinear parabolic equations. Mathematica (Cluj) 21(44) (1979), no. 1, 67-81, MR0594867.

Schechter, Ervin, On the numerical solution of a nonlinear parabolic equation. Anal. Numér. Théor. Approx. 8 (1979), no. 1, 89-97, MR0573796.

Schechter, Ervin, Remarks on the numerical solution of a nonlinear parabolic equation. Studia Univ. Babeş-Bolyai Math. 25 (1980), no. 3, 32-39, MR0619528.

Schechter, Ervin, Some properties of a nonlinear parabolic difference scheme. Anal. Numér. Théor. Approx. 10 (1981), no. 2, 225-232, MR0670655.

Downloads

Published

1984-02-01

How to Cite

Schechter, E. (1984). The generalized solution of a nonlinear degenerate parabolic equation and its numerical computation. Anal. Numér. Théor. Approx., 13(1), 73–93. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1984-vol13-no1-art9

Issue

Vol. 13 No. 1 (1984)

Section

Articles

License

Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.