Matches in SemOpenAlex for { <https://semopenalex.org/work/W4387479570> ?p ?o ?g. }
Showing items 1 to 92 of
92
with 100 items per page.
- W4387479570 endingPage "100405" @default.
- W4387479570 startingPage "100405" @default.
- W4387479570 abstract "In this study, a robust higher-order numerical method for solving singularly perturbed parabolic reaction-diffusion problems is presented. The Crank-Nicolson method is applied to discretize the time derivative on a uniform mesh. On a Shishkin mesh, the space derivative is discretized using a hybrid numerical method that combines the cubic spline in tension method for the boundary layer regions with the central difference method for the outer region. Theoretically, we proved that the proposed hybrid numerical method is second-order in the outer region and fourth-order in the boundary layer regions in the space direction. As a result of this, the proposed method produces an almost second-order rate of convergence in the time domain and a higher-order rate of convergence in the space domain. The newly developed method is numerically demonstrated to be uniformly convergent at higher-order, independent of the perturbation parameter. Three numerical examples are computed to support the theoretical results." @default.
- W4387479570 created "2023-10-11" @default.
- W4387479570 creator A5021144572 @default.
- W4387479570 creator A5074193703 @default.
- W4387479570 creator A5078331235 @default.
- W4387479570 date "2023-11-01" @default.
- W4387479570 modified "2023-10-16" @default.
- W4387479570 title "A robust higher-order fitted mesh numerical method for solving singularly perturbed parabolic reaction-diffusion problems" @default.
- W4387479570 cites W1981209483 @default.
- W4387479570 cites W1993788271 @default.
- W4387479570 cites W2027785655 @default.
- W4387479570 cites W2054640614 @default.
- W4387479570 cites W2059204953 @default.
- W4387479570 cites W2064240290 @default.
- W4387479570 cites W2069793286 @default.
- W4387479570 cites W2073407524 @default.
- W4387479570 cites W2077560889 @default.
- W4387479570 cites W2090933778 @default.
- W4387479570 cites W2789879078 @default.
- W4387479570 cites W2971124346 @default.
- W4387479570 cites W2987315207 @default.
- W4387479570 cites W2990792804 @default.
- W4387479570 cites W2998053691 @default.
- W4387479570 cites W3134766515 @default.
- W4387479570 cites W3191890838 @default.
- W4387479570 cites W4288826212 @default.
- W4387479570 cites W4304785564 @default.
- W4387479570 cites W4307194995 @default.
- W4387479570 cites W4322762801 @default.
- W4387479570 cites W4386826002 @default.
- W4387479570 doi "https://doi.org/10.1016/j.rinam.2023.100405" @default.
- W4387479570 hasPublicationYear "2023" @default.
- W4387479570 type Work @default.
- W4387479570 citedByCount "0" @default.
- W4387479570 crossrefType "journal-article" @default.
- W4387479570 hasAuthorship W4387479570A5021144572 @default.
- W4387479570 hasAuthorship W4387479570A5074193703 @default.
- W4387479570 hasAuthorship W4387479570A5078331235 @default.
- W4387479570 hasBestOaLocation W43874795701 @default.
- W4387479570 hasConcept C119741493 @default.
- W4387479570 hasConcept C121231716 @default.
- W4387479570 hasConcept C121332964 @default.
- W4387479570 hasConcept C127162648 @default.
- W4387479570 hasConcept C134306372 @default.
- W4387479570 hasConcept C157709441 @default.
- W4387479570 hasConcept C165160513 @default.
- W4387479570 hasConcept C177918212 @default.
- W4387479570 hasConcept C182310444 @default.
- W4387479570 hasConcept C2776257435 @default.
- W4387479570 hasConcept C31258907 @default.
- W4387479570 hasConcept C33923547 @default.
- W4387479570 hasConcept C41008148 @default.
- W4387479570 hasConcept C48753275 @default.
- W4387479570 hasConcept C57869625 @default.
- W4387479570 hasConcept C62520636 @default.
- W4387479570 hasConcept C73000952 @default.
- W4387479570 hasConceptScore W4387479570C119741493 @default.
- W4387479570 hasConceptScore W4387479570C121231716 @default.
- W4387479570 hasConceptScore W4387479570C121332964 @default.
- W4387479570 hasConceptScore W4387479570C127162648 @default.
- W4387479570 hasConceptScore W4387479570C134306372 @default.
- W4387479570 hasConceptScore W4387479570C157709441 @default.
- W4387479570 hasConceptScore W4387479570C165160513 @default.
- W4387479570 hasConceptScore W4387479570C177918212 @default.
- W4387479570 hasConceptScore W4387479570C182310444 @default.
- W4387479570 hasConceptScore W4387479570C2776257435 @default.
- W4387479570 hasConceptScore W4387479570C31258907 @default.
- W4387479570 hasConceptScore W4387479570C33923547 @default.
- W4387479570 hasConceptScore W4387479570C41008148 @default.
- W4387479570 hasConceptScore W4387479570C48753275 @default.
- W4387479570 hasConceptScore W4387479570C57869625 @default.
- W4387479570 hasConceptScore W4387479570C62520636 @default.
- W4387479570 hasConceptScore W4387479570C73000952 @default.
- W4387479570 hasLocation W43874795701 @default.
- W4387479570 hasOpenAccess W4387479570 @default.
- W4387479570 hasPrimaryLocation W43874795701 @default.
- W4387479570 hasRelatedWork W1985967981 @default.
- W4387479570 hasRelatedWork W1996893687 @default.
- W4387479570 hasRelatedWork W2045633467 @default.
- W4387479570 hasRelatedWork W2393638692 @default.
- W4387479570 hasRelatedWork W2465798376 @default.
- W4387479570 hasRelatedWork W2484452710 @default.
- W4387479570 hasRelatedWork W2556046879 @default.
- W4387479570 hasRelatedWork W2886742345 @default.
- W4387479570 hasRelatedWork W3207713593 @default.
- W4387479570 hasRelatedWork W2132134448 @default.
- W4387479570 hasVolume "20" @default.
- W4387479570 isParatext "false" @default.
- W4387479570 isRetracted "false" @default.
- W4387479570 workType "article" @default.