A uniformly valid approximation algorithm for nonlinear ordinary singular perturbation problems with boundary layer solutions

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Cengizci S., ATAY M. T., Eryilmaz A.

SPRINGERPLUS, cilt.5, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1186/s40064-016-1865-6
  • Dergi Adı: SPRINGERPLUS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Abdullah Gül Üniversitesi Adresli: Evet

Özet

This paper is concerned with two-point boundary value problems for singularly perturbed nonlinear ordinary differential equations. The case when the solution only has one boundary layer is examined. An efficient method so called Successive Complementary Expansion Method (SCEM) is used to obtain uniformly valid approximations to this kind of solutions. Four test problems are considered to check the efficiency and accuracy of the proposed method. The numerical results are found in good agreement with exact and existing solutions in literature. The results confirm that SCEM has a superiority over other existing methods in terms of easy-applicability and effectiveness.