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Difference approximations for singular perturbations of systems of ordinary differential equations. (English) Zbl 0314.65042

MSC:
65L10 Numerical solution of boundary value problems involving ordinary differential equations
65J99 Numerical analysis in abstract spaces
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References:
[1] Bahvalov, N. S.: On optimization of methods for solving boundary value problems in the presence of boundary layer. Zh. Vychisl. Mat. i Mat. Fiz.9, 841-859 (1969)
[2] Dorr, F. W.: The numerical solution of singular perturbations of boundary value problems. SIAM J. Numer. Anal.2, 281-313 (1970) · Zbl 0213.16704
[3] Harris, Jr., W. A.: Singular perturbations of two-point boundary value problems. J. Math. Mech.11, 371-382 (1962) · Zbl 0121.07202
[4] Pearson, C. E.: On a differential equation of boundary layer type. J. Math. Phys.47, 134-154 (1968) · Zbl 0167.15801
[5] Vishik, M. I., Lyusternik, L. A.: Regular degeneration and boundary layer for linear differential equations with small parameter. Uspeki Mat. Nauk12, 3-122 (1957), English transl., Amer. Math. Soc. Transl. (2),20, 239-264 (1962) · Zbl 0087.29602
[6] Wasow, W.: Asymptotic Expansions for Ordinary Differential Equations. New York: Interscience 1965 · Zbl 0133.35301
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