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Applied Mathematics and Mechanics

, Volume 9, Issue 7, pp 659–665 | Cite as

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

  • Ling Fu-hua
  • Li Ji-yao
Article
  • 42 Downloads

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.

Keywords

Boundary Layer Ordinary Differential Equation Multiple Solution Linear Boundary Nonlinear Boundary 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© SUT 1988

Authors and Affiliations

  • Ling Fu-hua
    • 1
  • Li Ji-yao
    • 1
  1. 1.Department of Engineering MechanicsShanghai Jiaotong UniversityShanghai

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