Chinese Quarterly Journal of Mathematics ›› 2012, Vol. 27 ›› Issue (3): 403-408.

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Approximate Analytic Solution for a Class of Generalized Nonlinear Singularly Perturbed Time-delay Model in the Critical Case 

  

  1. Department of Mathematics, East China Normal University; Division of Computational Science, E-Institute of Shanghai Universities at SJTU

  • Received:2010-12-27 Online:2012-09-30 Published:2023-03-23
  • About author:WANG Na(1978-), female, native of Wuhu, Anhui, a Ph.D. candidate of East China Normal University, M.S.D., engages in singular perturbation theory and its application.
  • Supported by:
    Supported by the National Science Foundation of China(11071075)

Abstract: Based on the boundary layer corrective method, a class of generalized nonlinear perturbed model in the critical case is studied. The asymptotic solution for the original equation is constructed. And the method is of significance to seek approximate solutions to other nonlinear models.

Key words: nonlinear, perturbation, boundary layer, approximate method

CLC Number: