FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1977579784> ?p ?o ?g. }

• W1977579784 endingPage "813" @default.
• W1977579784 startingPage "799" @default.
• W1977579784 abstract "We consider a class of singularly perturbed elliptic problems posed on a unit square. These problems are solved by using fitted mesh methods by many researchers but no attempts are made to solve them using fitted operator methods, except our recent work on reaction–diffusion problems [J.B. Munyakazi and K.C. Patidar, Higher order numerical methods for singularly perturbed elliptic problems, Neural Parallel Sci. Comput. 18(1) (2010), pp. 75–88]. In this paper, we design two fitted operator finite difference methods (FOFDMs) for singularly perturbed convection–diffusion problems which possess solutions with exponential and parabolic boundary layers, respectively. We observe that both of these FOFDMs are ϵ-uniformly convergent. This fact contradicts the claim about singularly perturbed convection–diffusion problems [Miller et al. Fitted Numerical Methods for Singular Perturbation Problems, World Scientific, Singapore, 1996] that ‘when parabolic boundary layers are present, …, it is not possible to design an ϵ-uniform FOFDM if the mesh is restricted to being a uniform mesh’. We confirm our theoretical findings through computational investigations and also found that we obtain better results than those of Linß and Stynes [Appl. Numer. Math. 31 (1999), pp. 255–270]." @default.
• W1977579784 created "2016-06-24" @default.
• W1977579784 creator A5057914732 @default.
• W1977579784 creator A5078740069 @default.
• W1977579784 date "2012-05-01" @default.
• W1977579784 modified "2023-09-27" @default.
• W1977579784 title "Novel fitted operator finite difference methods for singularly perturbed elliptic convection–diffusion problems in two dimensions" @default.
• W1977579784 cites W1476132770 @default.
• W1977579784 cites W1482075108 @default.
• W1977579784 cites W1635779336 @default.
• W1977579784 cites W1982691760 @default.
• W1977579784 cites W1986034894 @default.
• W1977579784 cites W2000691168 @default.
• W1977579784 cites W2023502036 @default.
• W1977579784 cites W2026115603 @default.
• W1977579784 cites W2038027802 @default.
• W1977579784 cites W2049528069 @default.
• W1977579784 cites W2076461900 @default.
• W1977579784 cites W2079854659 @default.
• W1977579784 cites W2132719389 @default.
• W1977579784 cites W2140764575 @default.
• W1977579784 cites W4241361809 @default.
• W1977579784 cites W4241946322 @default.
• W1977579784 cites W4292360407 @default.
• W1977579784 cites W79873316 @default.
• W1977579784 cites W865816944 @default.
• W1977579784 doi "https://doi.org/10.1080/10236198.2010.513330" @default.
• W1977579784 hasPublicationYear "2012" @default.
• W1977579784 type Work @default.
• W1977579784 sameAs 1977579784 @default.
• W1977579784 citedByCount "12" @default.
• W1977579784 countsByYear W19775797842013 @default.
• W1977579784 countsByYear W19775797842014 @default.
• W1977579784 countsByYear W19775797842015 @default.
• W1977579784 countsByYear W19775797842016 @default.
• W1977579784 countsByYear W19775797842018 @default.
• W1977579784 countsByYear W19775797842019 @default.
• W1977579784 countsByYear W19775797842020 @default.
• W1977579784 countsByYear W19775797842021 @default.
• W1977579784 countsByYear W19775797842022 @default.
• W1977579784 countsByYear W19775797842023 @default.
• W1977579784 crossrefType "journal-article" @default.
• W1977579784 hasAuthorship W1977579784A5057914732 @default.
• W1977579784 hasAuthorship W1977579784A5078740069 @default.
• W1977579784 hasConcept C104317684 @default.
• W1977579784 hasConcept C121332964 @default.
• W1977579784 hasConcept C134306372 @default.
• W1977579784 hasConcept C157709441 @default.
• W1977579784 hasConcept C158448853 @default.
• W1977579784 hasConcept C165160513 @default.
• W1977579784 hasConcept C17020691 @default.
• W1977579784 hasConcept C17456955 @default.
• W1977579784 hasConcept C177918212 @default.
• W1977579784 hasConcept C185592680 @default.
• W1977579784 hasConcept C2776257435 @default.
• W1977579784 hasConcept C28826006 @default.
• W1977579784 hasConcept C31258907 @default.
• W1977579784 hasConcept C33923547 @default.
• W1977579784 hasConcept C41008148 @default.
• W1977579784 hasConcept C55493867 @default.
• W1977579784 hasConcept C62520636 @default.
• W1977579784 hasConcept C70610323 @default.
• W1977579784 hasConcept C86339819 @default.
• W1977579784 hasConceptScore W1977579784C104317684 @default.
• W1977579784 hasConceptScore W1977579784C121332964 @default.
• W1977579784 hasConceptScore W1977579784C134306372 @default.
• W1977579784 hasConceptScore W1977579784C157709441 @default.
• W1977579784 hasConceptScore W1977579784C158448853 @default.
• W1977579784 hasConceptScore W1977579784C165160513 @default.
• W1977579784 hasConceptScore W1977579784C17020691 @default.
• W1977579784 hasConceptScore W1977579784C17456955 @default.
• W1977579784 hasConceptScore W1977579784C177918212 @default.
• W1977579784 hasConceptScore W1977579784C185592680 @default.
• W1977579784 hasConceptScore W1977579784C2776257435 @default.
• W1977579784 hasConceptScore W1977579784C28826006 @default.
• W1977579784 hasConceptScore W1977579784C31258907 @default.
• W1977579784 hasConceptScore W1977579784C33923547 @default.
• W1977579784 hasConceptScore W1977579784C41008148 @default.
• W1977579784 hasConceptScore W1977579784C55493867 @default.
• W1977579784 hasConceptScore W1977579784C62520636 @default.
• W1977579784 hasConceptScore W1977579784C70610323 @default.
• W1977579784 hasConceptScore W1977579784C86339819 @default.
• W1977579784 hasIssue "5" @default.
• W1977579784 hasLocation W19775797841 @default.
• W1977579784 hasOpenAccess W1977579784 @default.
• W1977579784 hasPrimaryLocation W19775797841 @default.
• W1977579784 hasRelatedWork W1970297409 @default.
• W1977579784 hasRelatedWork W1984199118 @default.
• W1977579784 hasRelatedWork W2019676381 @default.
• W1977579784 hasRelatedWork W2021965032 @default.
• W1977579784 hasRelatedWork W2046398678 @default.
• W1977579784 hasRelatedWork W2089545682 @default.
• W1977579784 hasRelatedWork W2359923410 @default.
• W1977579784 hasRelatedWork W2992814208 @default.
• W1977579784 hasRelatedWork W3146901379 @default.
• W1977579784 hasRelatedWork W54644683 @default.
• W1977579784 hasVolume "18" @default.
• W1977579784 isParatext "false" @default.

• next