Shooting Method in Singular Perturbation Problem of Ordinary Differential Eauations with boundary Layers

Ling Fu-hua; Li Ji-yao

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Ling Fu-hua, Li Ji-yao. Shooting Method in Singular Perturbation Problem of Ordinary Differential Eauations with boundary Layers[J]. Applied Mathematics and Mechanics, 1988, 9(7): 609-615.

Citation:

Ling Fu-hua, Li Ji-yao. Shooting Method in Singular Perturbation Problem of Ordinary Differential Eauations with boundary Layers[J]. Applied Mathematics and Mechanics, 1988, 9(7): 609-615.

Citation:

Ling Fu-hua, Li Ji-yao. Shooting Method in Singular Perturbation Problem of Ordinary Differential Eauations with boundary Layers[J]. Applied Mathematics and Mechanics, 1988, 9(7): 609-615.

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Shooting Method in Singular Perturbation Problem of Ordinary Differential Eauations with boundary Layers

Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai

Received Date: 1987-03-21
Publish Date: 1988-07-15

Abstract

Abstract

By using the adaptive steplength integration scheme with a shooting iechnique a rather difficult singualr perturbation problem of ordinctry differential equations with houndary layers can be calculated effectivcly.Computing examples are given in this paper, which show the convergence within one iterdtion of the method in the case of a lintear problem, the efficiency of the method for many boundary lavers and turning points, especially the convenience in calculating muliple solutions. A compartson with traditional difference method is given at the end of this paper.

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References(12)

References

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