A parameter uniform difference scheme for the parameterized singularly perturbed problem with integral boundary condition

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Kudu M.

ADVANCES IN DIFFERENCE EQUATIONS, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası:
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1186/s13662-018-1620-0
  • Dergi Adı: ADVANCES IN DIFFERENCE EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Erzincan Binali Yıldırım Üniversitesi Adresli: Evet

Özet

We consider a uniform finite difference method on a Bakhvalov mesh to solve a quasilinear first order parameterized singularly perturbed problem with integral boundary conditions. Uniform first order error estimates in the discrete maximum norm have been established. Numerical results that demonstrate the sharpness of our theoretical analysis are presented.