Asymptotic Initial-Value Method for Singularly-Perturbed Boundary-Value Problems for Second-Order Ordinary Differential Equations
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DOI: 10.1023/A:1022118420907
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References listed on IDEAS
- S. Natesan & M. Ramanujam, 1998. "Initial-Value Technique for Singularly-Perturbed Turning-Point Problems Exhibiting Twin Boundary Layers," Journal of Optimization Theory and Applications, Springer, vol. 99(1), pages 37-52, October.
- S. Natesan & N. Ramanujam, 1998. "Initial-Value Technique for Singularly Perturbed Boundary-Value Problems for Second-Order Ordinary Differential Equations Arising in Chemical Reactor Theory," Journal of Optimization Theory and Applications, Springer, vol. 97(2), pages 455-470, May.
- S. Natesan & N. Ramanujam, 1998. "Booster Method for Singularly-Perturbed One-Dimensional Convection-Diffusion Neumann Problems," Journal of Optimization Theory and Applications, Springer, vol. 99(1), pages 53-72, October.
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Cited by:
- T. Valanarasu & N. Ramanujam, 2007. "Asymptotic Initial-Value Method for Second-Order Singular Perturbation Problems of Reaction-Diffusion Type with Discontinuous Source Term," Journal of Optimization Theory and Applications, Springer, vol. 133(3), pages 371-383, June.
- Chein-Shan Liu & Essam R. El-Zahar & Chih-Wen Chang, 2022. "Higher-Order Asymptotic Numerical Solutions for Singularly Perturbed Problems with Variable Coefficients," Mathematics, MDPI, vol. 10(15), pages 1-20, August.
- Toprakseven, Şuayip & Zhu, Peng, 2023. "Error analysis of a weak Galerkin finite element method for two-parameter singularly perturbed differential equations in the energy and balanced norms," Applied Mathematics and Computation, Elsevier, vol. 441(C).
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Keywords
Singular-perturbation problems; two-point boundary-value problems; boundary layers; ordinary differential equations; initial-value methods; asymptotic expansions; small parameters; nonturning points;All these keywords.
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