Reproducing Kernel Method for Singularly Perturbed One-Dimensional Initial-Boundary Value Problems with Exponential Initial Layers

• Geng, Fazhan ^[1] ; Tang, Zhiqiang ^[1] ; Zhou, Yongfang ^[2]
  1. [1] Changshu Institute of Technology

     Changshu Institute of Technology

     China

     
  2. [2] Hebei University

     Hebei University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 17, Nº 1, 2018, págs. 177-187
• Idioma: inglés
• DOI: 10.1007/s12346-017-0242-3
• Enlaces
  • Texto completo
• Resumen

  • In this paper, a meshless numerical method is proposed for singularly perturbed one-dimensional initial-boundary value problems with exponential initial layers. The method is a combination of the domain decomposition method and the reproducing kernel method. A fitted reproducing kernel is constructed for initial layer domain problem. Some numerical results confirming the expected behavior of the method are shown.

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