Natesan, S.; Ramanujam, N. “Booster method” for singularly perturbed Robin problems. I. (English) Zbl 0969.65072 Int. J. Comput. Math. 76, No. 2, 191-202 (2000). The authors propose an improved numerical method (“booster method”) for singularly perturbed two-point boundary value problems and give error estimates for the method. Some numerical examples are presented for showing the efficiency of this method. Reviewer: Ziwen Jiang (Shandong) Cited in 1 ReviewCited in 3 Documents MSC: 65L10 Numerical solution of boundary value problems involving ordinary differential equations 65L70 Error bounds for numerical methods for ordinary differential equations 34B15 Nonlinear boundary value problems for ordinary differential equations 34E15 Singular perturbations for ordinary differential equations Keywords:exponential fitting; Robin problems; boundary layer; singular perturbation; booster method; two-point boundary value problem; error estimates; numerical examples PDFBibTeX XMLCite \textit{S. Natesan} and \textit{N. Ramanujam}, Int. J. Comput. Math. 76, No. 2, 191--202 (2000; Zbl 0969.65072) Full Text: DOI References: [1] Doolan E.P., Uniform Numerical Methods for Problems with Initial and Boundary Layers (1980) · Zbl 0459.65058 [2] Chang K.W., Nonlinear Singular Perturbation Phenomena: Theory and Applications (1984) · Zbl 0559.34013 · doi:10.1007/978-1-4612-1114-3 [3] DOI: 10.1007/BF01407865 · Zbl 0489.65054 · doi:10.1007/BF01407865 [4] DOI: 10.1023/A:1021796010050 · Zbl 0912.65072 · doi:10.1023/A:1021796010050 [5] DOI: 10.1016/S0096-3003(97)10167-9 · Zbl 0940.65080 · doi:10.1016/S0096-3003(97)10167-9 [6] DOI: 10.1016/S0096-3003(98)00014-9 · Zbl 0940.65081 · doi:10.1016/S0096-3003(98)00014-9 [7] DOI: 10.1090/S0025-5718-1978-0483484-9 · doi:10.1090/S0025-5718-1978-0483484-9 [8] DOI: 10.1023/A:1022639003366 · Zbl 0908.65070 · doi:10.1023/A:1022639003366 [9] DOI: 10.1016/0898-1221(94)90078-7 · Zbl 0792.65061 · doi:10.1016/0898-1221(94)90078-7 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.