Singüler Pertürbe Özellikli Yarılineer Gecikmeli Diferansiyel Denklemlerin Nümerik Çözümleri

Hakkı Duru; Bahar Gürbüz

doi:10.53433/yyufbed.1085501

Araştırma Makalesi

Numerical Solutions of the Singularly Perturbed Semilinear Delay Differential Equations

Yıl 2022, Cilt: 27 Sayı: 2, 330 - 343, 30.08.2022

Hakkı Duru Bahar Gürbüz

https://doi.org/10.53433/yyufbed.1085501

Öz

In this study, the numerical solution of the singularly perturbed quasilinear differential equations with constant delay is investigated by the method of integral identities with use of linear basis functions and interpolating quadrature formulas, a finite difference scheme is established on Boglaev-Bakhvalov type mesh. The error approximations are obtained in the discrete maximum norm. A numerical example is solved to clarify the theoretical analysis.

Anahtar Kelimeler

Bakhvalov mesh, Difference scheme, Singular perturbation, Uniform convergence

Kaynakça

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