Comparative study of singularly perturbed two-point BVPs via: Fitted-mesh finite difference method, B-spline collocation method and finite element method

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dc.contributor.authorKumar, Devendra
dc.date.accessioned2023-07-21T06:43:33Z
dc.date.available2023-07-21T06:43:33Z
dc.date.issued2008-10
dc.description.abstractThe objective of this paper is to present a comparative study of fitted-mesh finite difference method, B-spline collocation method and finite element method for general singularly perturbed two-point boundary value problems. Due to the small parameter , the boundary layer arises. We have taken a piecewise-uniform fitted-mesh to resolve the boundary layer and we have shown that fitted-mesh finite difference method has -uniform first order convergence, B-spline collocation method has almost second order -uniform convergence and Ritz–Galerkin methoden_US
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S0096300308005456
dc.identifier.urihttp://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/10948
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.subjectMathematicsen_US
dc.subjectSingular perturbationen_US
dc.subjectBoundary layeren_US
dc.subjectShishkin-type meshen_US
dc.subjectFinite difference methoden_US
dc.subjectFinite element methoden_US
dc.titleComparative study of singularly perturbed two-point BVPs via: Fitted-mesh finite difference method, B-spline collocation method and finite element methoden_US
dc.typeArticleen_US

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