Evrenosoglu, M.; Somali, S. Least squares methods for solving singularly perturbed two-point boundary value problems using Bézier control points. (English) Zbl 1160.34311 Appl. Math. Lett. 21, No. 10, 1029-1032 (2008). Summary: Singularly perturbed two-point boundary value problems are solved by applying least squares methods based on Bézier control points. Numerical experiments are presented to illustrate the efficiency of the proposed method. Cited in 10 Documents MSC: 34B15 Nonlinear boundary value problems for ordinary differential equations 34E20 Singular perturbations, turning point theory, WKB methods for ordinary differential equations 34A45 Theoretical approximation of solutions to ordinary differential equations Keywords:Bézier control points; Bézier curves; least squares method; singular perturbation; two-point boundary value problems PDFBibTeX XMLCite \textit{M. Evrenosoglu} and \textit{S. Somali}, Appl. Math. Lett. 21, No. 10, 1029--1032 (2008; Zbl 1160.34311) Full Text: DOI References: [1] Farrell, P. A.; Hegarty, A. F.; Miller, J. J.H.; O’Riordan, E.; Shishkin, G. I., Robust Computational Techniques for Boundary Layers (2000), Chapman& Hall, CRC Press: Chapman& Hall, CRC Press London, Boca Raton, FL · Zbl 0964.65083 [2] Miller, J. J.H.; O’Riordan, E.; Shishkin, G. I., Fitted Numerical Methods for Singular Perturbation Problems (1996), World Scientific: World Scientific Singapore · Zbl 0945.65521 [3] Morton, K. W., Numerical Solution of Convection-Diffusion Problems (1996), Chapman & Hall: Chapman & Hall London · Zbl 0861.65070 [4] Roos, H. G.; Stynes, M.; Tobiska, L., Numerical Methods for Singularly Perturbed Differential Equations (1996), Springer: Springer New York [5] Zheng, J.; Sederberg, T. W.; Johnson, R. W., Least square methods for solving differential equations using Bézier control points, Appl. Num. Math, 48, 237-252 (2004) · Zbl 1048.65077 [6] Mohanty, R. K.; Arora, U., A family of non-uniform mesh tension spline methods for singularly perturbed two-point singular boundary value problems with significant first derivatives, Appl. Math. Comput., 172, 531-544 (2006) · Zbl 1088.65071 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.