Numerical Solution of Singularly Perturbed Boundary Value Problems Based on Optimal Control Strategy

Author:

Loghmani G. B.,Ahmadinia M.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference27 articles.

1. Abrahamsson, L.R., Keller, H.B., Kreiss, H.O.: Difference approximations for singular perturbations of a system of ordinary differential equations. Numer. Math. 22, 367–391 (1974)

2. Ascher, U., Weiss, R.: Collocation for singular-perturbation problems, I: First-order systems with constant coefficients. SIAM J. Numer. Anal. 20, 537–557 (1983)

3. Ascher, U., Weiss, R.: Collocation for singular-perturbation problems, III: Nonlinear problems without turning points. Stat. Comput. 5, 811–829 (1984)

4. Ascher, U., Weiss, R.: Collocation for singular-perturbation problems, II: First-order systems without turning points. Math. Comput. 4, 157–187 (1984)

5. Ascher, U.M., Mattheij, R.M.M., Russell, R.D.: Numerical Solution of Two Point Boundary Value Problems for Ordinary Differential Equations. Prentice-Hall, Englishwood Cliffs (1988)

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