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

Applied Mathematics and Mechanics (English Edition) ›› 1980, Vol. 1 ›› Issue (2): 175-185.

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

苏煜城, 吴启光

Nanking University

收稿日期:1979-12-26 出版日期:1980-05-18 发布日期:1980-05-18

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

Su Yu-cheng, Wu Chi-kuang

Nanking University

Received:1979-12-26 Online:1980-05-18 Published:1980-05-18

摘要/Abstract

摘要： In this paper it is discussed the difference method for the solution of singular perturbation problems for the elliptic equations, involving small parameter in the higher derivatives. As ε= 0 the original equations are degenerated into the parabolic equations.Authors constructed special difference schemes by means of the boundary layer properties of the solutions of these problems as well as investigated the convergence of this scheme and asymptotic behaviour of the solutions. Finally, a numerical example is given.

关键词: wavelet analysis, filter, trigonometric functions, analytic construction

Abstract: In this paper it is discussed the difference method for the solution of singular perturbation problems for the elliptic equations, involving small parameter in the higher derivatives. As ε= 0 the original equations are degenerated into the parabolic equations.Authors constructed special difference schemes by means of the boundary layer properties of the solutions of these problems as well as investigated the convergence of this scheme and asymptotic behaviour of the solutions. Finally, a numerical example is given.

Key words: wavelet analysis, filter, trigonometric functions, analytic construction

苏煜城;吴启光. The Difference Methods for the Solution of Singular-Perturbation for the Elliptic-Parabolic Differential Equation[J]. Applied Mathematics and Mechanics (English Edition), 1980, 1(2): 175-185.

Su Yu-cheng;Wu Chi-kuang. The Difference Methods for the Solution of Singular-Perturbation for the Elliptic-Parabolic Differential Equation[J]. Applied Mathematics and Mechanics (English Edition), 1980, 1(2): 175-185.

[1]	Ying ZHANG, Lin DU, Weiwei ZHANG, Zichen DENG. Research on data assimilation strategy of turbulent separated flow over airfoil[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(4): 571-586.
[2]	李建平;唐远炎;严中洪;张万萍. UNIFORM ANALYTIC CONSTRUCTION OF WAVELET ANALYSIS FILTERS BASED ON SINE AND COSINE TRIGONOMETRIC FUNCTIONS[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(5): 569-585.
[3]	朱文浩;戴辉;钟伟芳. LINEARIZED INVERSE SCATTERING FOR ELASTIC PARAMETERS IN A HALF-SPACE WITH REFLECTION DATA[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(10): 1201-1206.
[4]	戈新生;张奇志;刘延柱. BASED ON WAVELET ANALYSIS TO OPTIMAL CONTROL OF MOTION PLANNING OF SPACE MANIPULATOR[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(10): 1161-1168.
[5]	骆少明;张湘伟. THE FINITE ELEMENT METHOD BASED ON INTERPOLATING WITH WAVELET BASIS FUNCTION[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(1): 13-18.
[6]	张湘伟;骆少明;中桐滋. WAVELET ANALYSIS IN TESTING SIGNALS[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(3): 221-225.

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

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

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 6

编辑推荐

Metrics

本文评价