Matches in SemOpenAlex for { <https://semopenalex.org/work/W4387570908> ?p ?o ?g. }
Showing items 1 to 73 of
73
with 100 items per page.
- W4387570908 abstract "Abstract We introduce and thoroughly examine a novel approach grounded in B-spline techniques to address the solution of second-kind nonlinear Volterra integral equations. Our method revolves around the application of B-spline interpolation, incorporating innovative end conditions, and delving into the associated existence and error estimation aspects. Notably, we develop this technique separately for even and odd-degree splines, leading to super-convergent approximations, particularly significant when employing even-degree splines. This paper extends its commitment to a comprehensive analysis, delving deeply into the method's convergence characteristics and providing insightful error bounds. To empirically validate our approach, we present a series of numerical experiments. These experiments underscore the method's efficacy and practicality, showcasing numerical approximations that closely align with the anticipated theoretical outcomes. Our proposed method thus emerges as a promising and robust tool for addressing the challenging realm of nonlinear Volterra integral equations, bridging the gap between theoretical expectations and practical applications. 2010 Mathematics Subject Classifications: 45Dxx; 65R20; 41A15." @default.
- W4387570908 created "2023-10-13" @default.
- W4387570908 creator A5017596384 @default.
- W4387570908 creator A5034127968 @default.
- W4387570908 creator A5082919378 @default.
- W4387570908 date "2023-10-12" @default.
- W4387570908 modified "2023-10-13" @default.
- W4387570908 title "A novel super-convergent numerical method for solving nonlinear Volterra integral equations based on B-splines" @default.
- W4387570908 doi "https://doi.org/10.21203/rs.3.rs-3409913/v1" @default.
- W4387570908 hasPublicationYear "2023" @default.
- W4387570908 type Work @default.
- W4387570908 citedByCount "0" @default.
- W4387570908 crossrefType "posted-content" @default.
- W4387570908 hasAuthorship W4387570908A5017596384 @default.
- W4387570908 hasAuthorship W4387570908A5034127968 @default.
- W4387570908 hasAuthorship W4387570908A5082919378 @default.
- W4387570908 hasBestOaLocation W43875709081 @default.
- W4387570908 hasConcept C10390562 @default.
- W4387570908 hasConcept C104114177 @default.
- W4387570908 hasConcept C121332964 @default.
- W4387570908 hasConcept C126255220 @default.
- W4387570908 hasConcept C127413603 @default.
- W4387570908 hasConcept C134306372 @default.
- W4387570908 hasConcept C137800194 @default.
- W4387570908 hasConcept C154945302 @default.
- W4387570908 hasConcept C158622935 @default.
- W4387570908 hasConcept C162324750 @default.
- W4387570908 hasConcept C21965488 @default.
- W4387570908 hasConcept C27016315 @default.
- W4387570908 hasConcept C2777303404 @default.
- W4387570908 hasConcept C2778532037 @default.
- W4387570908 hasConcept C28826006 @default.
- W4387570908 hasConcept C33923547 @default.
- W4387570908 hasConcept C41008148 @default.
- W4387570908 hasConcept C50522688 @default.
- W4387570908 hasConcept C62520636 @default.
- W4387570908 hasConcept C66938386 @default.
- W4387570908 hasConceptScore W4387570908C10390562 @default.
- W4387570908 hasConceptScore W4387570908C104114177 @default.
- W4387570908 hasConceptScore W4387570908C121332964 @default.
- W4387570908 hasConceptScore W4387570908C126255220 @default.
- W4387570908 hasConceptScore W4387570908C127413603 @default.
- W4387570908 hasConceptScore W4387570908C134306372 @default.
- W4387570908 hasConceptScore W4387570908C137800194 @default.
- W4387570908 hasConceptScore W4387570908C154945302 @default.
- W4387570908 hasConceptScore W4387570908C158622935 @default.
- W4387570908 hasConceptScore W4387570908C162324750 @default.
- W4387570908 hasConceptScore W4387570908C21965488 @default.
- W4387570908 hasConceptScore W4387570908C27016315 @default.
- W4387570908 hasConceptScore W4387570908C2777303404 @default.
- W4387570908 hasConceptScore W4387570908C2778532037 @default.
- W4387570908 hasConceptScore W4387570908C28826006 @default.
- W4387570908 hasConceptScore W4387570908C33923547 @default.
- W4387570908 hasConceptScore W4387570908C41008148 @default.
- W4387570908 hasConceptScore W4387570908C50522688 @default.
- W4387570908 hasConceptScore W4387570908C62520636 @default.
- W4387570908 hasConceptScore W4387570908C66938386 @default.
- W4387570908 hasLocation W43875709081 @default.
- W4387570908 hasOpenAccess W4387570908 @default.
- W4387570908 hasPrimaryLocation W43875709081 @default.
- W4387570908 hasRelatedWork W2014667605 @default.
- W4387570908 hasRelatedWork W2031624200 @default.
- W4387570908 hasRelatedWork W2118560105 @default.
- W4387570908 hasRelatedWork W2358959122 @default.
- W4387570908 hasRelatedWork W2517687681 @default.
- W4387570908 hasRelatedWork W2754932876 @default.
- W4387570908 hasRelatedWork W3130959766 @default.
- W4387570908 hasRelatedWork W325682659 @default.
- W4387570908 hasRelatedWork W4225984655 @default.
- W4387570908 hasRelatedWork W1826865795 @default.
- W4387570908 isParatext "false" @default.
- W4387570908 isRetracted "false" @default.
- W4387570908 workType "article" @default.