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Shooting method in singular perturbation problem of ordinary differential equations with boundary layers

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Abstract

By using the adaptive steplength integration scheme with a shooting technique, a rather difficult singular perturbation problem of ordinary differential equations with boundary layers can be calculated effectively. Computing examples are given in this paper which show the convergence within one iteration of the method in the case of a linear problem, the efficiency of the method for many boundary layers and turning points, especially the convenience in calculating multiple solutions. A comparison with traditional difference method is given at the end of this paper.

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Authors and Affiliations

  1. Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai

    Ling Fu-hua & Li Ji-yao

Authors
  1. Ling Fu-hua
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  2. Li Ji-yao
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Communicated by Dai Shi-qiang

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Fu-hua, L., Ji-yao, L. Shooting method in singular perturbation problem of ordinary differential equations with boundary layers. Appl Math Mech 9, 659–665 (1988). https://doi.org/10.1007/BF02465695

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  • DOI: https://doi.org/10.1007/BF02465695

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