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Applied Mathematics A Journal of Chinese Universities  2016, Vol. 31 Issue (3): 316-326    DOI:
    
Double boundary layers of quadratic nonlinear singularly perturbed boundary value problem with infinite boundary values
HAN Jian-bang, SHEN Qi-xia
Department of Basic Course, Zhengzhou University of Science and Technology, Zhengzhou 450064, China
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Abstract  Double boundary layers of quadratic nonlinear singularly perturbed boundary value problem with infinite boundary values is studied. Using the boundary layer correction function, its asymptotic solution is constructed, and using the theory of differential inequality, the uniformly valid asymptotic estimation is presented. Finally, an example is given to verify the validity of the relevant conclusions.

Key wordsinfinite boundary value      double boundary layers      boundary layer correction      differential inequality     
Received: 07 January 2016      Published: 16 May 2018
CLC:  O175.14  
Cite this article:

HAN Jian-bang, SHEN Qi-xia. Double boundary layers of quadratic nonlinear singularly perturbed boundary value problem with infinite boundary values. Applied Mathematics A Journal of Chinese Universities, 2016, 31(3): 316-326.

URL:

http://www.zjujournals.com/amjcua/     OR     http://www.zjujournals.com/amjcua/Y2016/V31/I3/316


具有无穷边界值的二次非线性奇摄动边值问题的双边界层

研究了具有无穷边界值的二次非线性奇摄动边值问题的双边界层, 利用边界层校正函数, 构造其渐近解, 并利用微分不等式理论, 给出了一致有效渐近估计. 最后给出算例验证了相关结论的正确性.

关键词: 无穷大边界值,  双边界层,  边界层校正,  微分不等式 
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