Numerical Solution of Singular Perturbation Problems for the Fourth-Order Elliptic Differential Equations

Su Yu-cheng; Liu Guo-qing

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Su Yu-cheng, Liu Guo-qing. Numerical Solution of Singular Perturbation Problems for the Fourth-Order Elliptic Differential Equations[J]. Applied Mathematics and Mechanics, 1991, 12(10): 879-902.

Citation:

Su Yu-cheng, Liu Guo-qing. Numerical Solution of Singular Perturbation Problems for the Fourth-Order Elliptic Differential Equations[J]. Applied Mathematics and Mechanics, 1991, 12(10): 879-902.

Citation:

Su Yu-cheng, Liu Guo-qing. Numerical Solution of Singular Perturbation Problems for the Fourth-Order Elliptic Differential Equations[J]. Applied Mathematics and Mechanics, 1991, 12(10): 879-902.

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Numerical Solution of Singular Perturbation Problems for the Fourth-Order Elliptic Differential Equations

Su Yu-cheng¹,
Liu Guo-qing²

1.
Nanjing University, Nanjing;
2.
Nanjing Institute of Chemical Technology, Nanjing

Received Date: 1990-10-17
Publish Date: 1991-10-15

Abstract

Abstract

In this paper we construct the finite-difference scheme for the singularly perturbed boundary value problem for the fourth-order elliptic differential equation on the basis of paper [1], and prove the uniform convergence of this scheme with respect to the small parameter e in the discrete energy norm. Finally, we give a numerical example.
- elliptic,
- singular perturbation,
- energy norm,
- numerical solution

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References(3)

References

[1]	苏坦城、刘国庆,四阶椭圆型方程奇异摄动问题渐近解,应用数学和力学,11(7) (1990),597-610.
[2]	Comstock,C,,Singular perturbations of elliptic equations I,SIAM J,Appl.Math 20 (1971),491.
[3]	Ladpzhenskaya,O,A,,The 9oundarg Problems of Mathemalical Physics,Springer-Verlag (1985).