The Necessary and Sufficient Condition of Uniformly Convergent Difference Schemes for the Elliptic——Parabolic Partial Differential Equation with a Small Parameter

Lin Peng-cheng; Liu Fa-wang

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1984 > 5(1): 67-75

Lin Peng-cheng, Liu Fa-wang. The Necessary and Sufficient Condition of Uniformly Convergent Difference Schemes for the Elliptic——Parabolic Partial Differential Equation with a Small Parameter[J]. Applied Mathematics and Mechanics, 1984, 5(1): 67-75.

Citation:

PDF( 497 KB)

The Necessary and Sufficient Condition of Uniformly Convergent Difference Schemes for the Elliptic——Parabolic Partial Differential Equation with a Small Parameter

Fuzhou University, Fuzhou

Received Date: 1983-04-21
Publish Date: 1984-02-15

Abstract

Abstract

This paper studies the necessary and sufficient condition of uniformly convergent difference scheme for the elliptic-parabolic partial differential equation with a small parameter.

FullText(HTML)

References(5)

References

[1]	Il'in,A.M,Differencing scheme for a differential equation with a small parameter affecting the highest derivative,Math,Notes,6,2.(1969),596-602
[2]	Emelynov,K.V.,A difference scheme for a ordinary differential equation with a small parameter,USSR Computational Math.and Math Phys.,18.5,(1979),72-80.
[3]	Doolan,E,P.,J.J.Miller and W.H,A,Schillders,Uniform numerial methods for problems with initial and boundary layers,(1980).
[4]	苏煌城、吴启光,椭圆一抛物偏微分方程奇异摄动问题的差分解法.应用数学和力学.1.2(1980).
[5]	Shishltin,G.I.,Difference schemes for solving an elliptic equation with small parameter in a domain with curvilinear boundary,USSR Computational Math and Math,Phys.18,6.(1979),105-115.