Legendre Neural Network Method for Several Classes of Singularly Perturbed Differential Equations Based on Mapping and Piecewise Optimization Technology

Author:

Liu HongliangORCID,Xing Baixue,Wang Zhen,Li Lijuan

Funder

National Natural Science Foundation of China

Natural Science Foundation of Hunan Province of China

Scientific Research Fund of Hunan Provincial Science and Technology Department

Publisher

Springer Science and Business Media LLC

Subject

Artificial Intelligence,Computer Networks and Communications,General Neuroscience,Software

Reference69 articles.

1. Zhou ZY, Shen JH (2011) Delayed phenomenon of loss of stability of solutions in a second-order quasi-linear singularly perturbed boundary value problem with a turning point. Bound Value Probl 1:1–13

2. Chen SL (2004) The asymptotic solutions for a class of singularly perturbed nonlinear equations. Pure Appl Math 20(4):344–349

3. Vasil’eva AB, Butuzov Writing VF, Ni MK, Translation LWZ (2008) Asymptotic expansions of singularly perturbed differential equations. Higher Education Press, Beijing (in chinese)

4. Jiang FR (1981) On the boundary layer methods. Appl Math Mech 2(5):505–518

5. Mo JQ, Chen SL (2000) The singularly perturbed nonlinear boundary value problem. J Math Res Expos 20(1):57–61

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