Surla, Katarina; Teofanov, Ljiljana; Uzelac, Zorica On collocation methods for singular perturbation problems of convection-diffusion type. (English) Zbl 1011.65054 Novi Sad J. Math. 31, No. 1, 125-132 (2001). The authors construct finite difference schemes approximating a linear singularly perturbed boundary value problem by using cubic spline and collocation method. The method is improved by changing the location of the collocation points. A numerical example is given. Reviewer: Boško Jovanović (Beograd) MSC: 65L60 Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations 65L12 Finite difference and finite volume methods for ordinary differential equations 34B05 Linear boundary value problems for ordinary differential equations 34E15 Singular perturbations for ordinary differential equations Keywords:small parameter; spline difference scheme; singular perturbation; spline difference; convection-diffusion equation; boundary value problem; collocation method; numerical example PDFBibTeX XMLCite \textit{K. Surla} et al., Novi Sad J. Math. 31, No. 1, 125--132 (2001; Zbl 1011.65054) Full Text: EuDML