Singularly Perturbed Problems Modeling Reaction-convection-diffusion Processes
Abstract: In this paper, parameter - uniform numerical methods for singularly perturbed ordinary differential equations containing two small parameters are studied.Parameter-explicit theoretical bounds on the derivatives of the solutions are derived. A numerical algorithm based on an upwind finite difference operator and an appropriate piecewise uniform mesh is constructed. Parameter-uniform error bounds for the numerical approximations are established. Numerical results are given to illustrate the parameter-uniform convergence of numerical approximations.
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Erschienen in
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Singularly Perturbed Problems Modeling Reaction-convection-diffusion Processes ; volume:3 ; number:3 ; year:2003 ; pages:424-442
Computational methods in applied mathematics ; 3, Heft 3 (2003), 424-442
- Urheber
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O' Riordan, Eugene
Pickett, Maria L.
Shishkin, Georgii I.
- DOI
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10.2478/cmam-2003-0028
- URN
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urn:nbn:de:101:1-2410261610250.131073240833
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
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15.08.2025, 07:34 MESZ
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Beteiligte
- O' Riordan, Eugene
- Pickett, Maria L.
- Shishkin, Georgii I.
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