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“Booster method” for singularly perturbed Robin problems. I. (English) Zbl 0969.65072

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.

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
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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
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