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 Field	Value	Language
dc.contributor.author	Kumar, Devendra	-
dc.date.accessioned	2023-07-21T06:43:33Z	-
dc.date.available	2023-07-21T06:43:33Z	-
dc.date.issued	2008-10	-
dc.identifier.uri	https://www.sciencedirect.com/science/article/pii/S0096300308005456	-
dc.identifier.uri	http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/10948	-
dc.description.abstract	The 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 method	en_US
dc.language.iso	en	en_US
dc.publisher	Elsevier	en_US
dc.subject	Mathematics	en_US
dc.subject	Singular perturbation	en_US
dc.subject	Boundary layer	en_US
dc.subject	Shishkin-type mesh	en_US
dc.subject	Finite difference method	en_US
dc.subject	Finite element method	en_US
dc.title	Comparative study of singularly perturbed two-point BVPs via: Fitted-mesh finite difference method, B-spline collocation method and finite element method	en_US
dc.type	Article	en_US
Appears in Collections:	Department of Mathematics

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