Analysis of Immersed Interface Difference Schemes for Reaction-diffusion Problems with Singular Own Sources
Abstract: This paper analyzes immersed interface difference schemes for onedimensional reaction-diffusion equations with singular own linear and nonlinear sources. Error bounds in the infinity norm based on the maximum principle are derived. Sharper bounds and a more detailed structure of the error are obtained using the asymptotic error expansion analysis method. Numerical examples confirm the theoretical results.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Analysis of Immersed Interface Difference Schemes for Reaction-diffusion Problems with Singular Own Sources ; volume:3 ; number:2 ; year:2003 ; pages:253-273
Computational methods in applied mathematics ; 3, Heft 2 (2003), 253-273
- Creator
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Kandilarov, Juri D.
Vulkov, Lubin G.
- DOI
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10.2478/cmam-2003-0017
- URN
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urn:nbn:de:101:1-2410261609142.555596165799
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:29 AM CEST
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Associated
- Kandilarov, Juri D.
- Vulkov, Lubin G.
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