The Difference Methods for the Solution of Singular-Perturbation for the Elliptic-Parabolic Differential Equation

被引：10

作者：

苏煜城 ^{[1
]}

吴启光 ^{[1
]}

机构：

[1] Nanking University

来源：

Applied Mathematics and Mechanics(English Edition) | 1980年 / 02期

关键词：

perturbation; elliptic; parabolic; asymptotic; singular; ordinary; quotient; concerned; degenerate; constants;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper it is discussed the difference method for the solution of singular perturbation pro-blems for the elliptic equations,involving small parameter in the higher derivatives.Asε=0 theoriginal equations are degenerated into the parabolic equations.Authors constructed special difference schemes by means of the boundary layer properties ofthe solutions of these problems as well as investigated the convergence of this scheme and asymptoticbehaviour of the solutions.Finally,a numerical example is given.

引用

页码：175 / 185

页数：11

共 50 条

[31] On Second Order of Accuracy Difference Scheme of the Approximate Solution of Nonlocal Elliptic-Parabolic Problems
Ashyralyev, Allaberen
Gercek, Okan
ABSTRACT AND APPLIED ANALYSIS, 2010,
[32] DEGENERATE ELLIPTIC-PARABOLIC EQUATION OCCURRING IN THEORY OF PROBABILITY
BREZIS, H
ROSENKRA.W
SINGER, B
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1971, 24 (03) : 395 - &
[33] SINGULAR-PERTURBATION OF NON-SELF-ADJOINT ELLIPTIC EIGENVALUE PROBLEMS
GREENLEE, WM
LECTURE NOTES IN MATHEMATICS, 1982, 942 : 43 - 53
[34] DEGENERATE ELLIPTIC-PARABOLIC EQUATION OCCURRING IN THEORY PROBABILITY
BREZIS, H
ROSENKRA.WA
SINGER, B
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (01): : 229 - +
[35] BOUNDARY-VALUE PROBLEM FOR AN ELLIPTIC-PARABOLIC EQUATION
EGOROV, IE
SIBERIAN MATHEMATICAL JOURNAL, 1976, 17 (03) : 526 - 530
[36] On a nonlinear elliptic-parabolic integro-differential equation with L1-data
Jakubowski, VG
Wittbold, P
JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 197 (02) : 427 - 445
[37] Existence and uniqueness of solution for a singular elliptic differential equation
Gu, Shanshan
Yang, Bianxia
Shao, Wenrui
ADVANCES IN NONLINEAR ANALYSIS, 2024, 13 (01)
[38] Numerical Solution of a Two Dimensional Elliptic-Parabolic Equation with Dirichlet-Neumann Condition
Ashyralyev, Allaberen
Gercek, Okan
Zusi, Emel
INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2018), 2018, 1997
[39] SINGULAR PERTURBATION PROBLEM AND A NEUTRAL DIFFERENTIAL-DIFFERENCE EQUATION
MOORE, E
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1974, 17 (01): : 77 - 83
[40] Additive splitting methods for elliptic-parabolic problems.
Ciegis, R
Papastavrou, A
Zemitis, A
ANNALI DELL'UNIVERSITA DI FERRARA, SEZIONE VII, SCIENZE MATEMATICHE, VOL XLVI, 2000, 46 : 291 - 306

← 1 2 3 4 5 →