Subdivision schemes based collocation algorithms for solution of fourth order boundary value problems
type: Item
instance of: scholarly article
title: Subdivision schemes based collocation algorithms for solution of fourth order boundary value problems
zbMATH Open document ID: 1394.65062
DOI: 10.1155/2015/240138
author: Syeda Tehmina Ejaz
author: Ghulam Mustafa
author: Faheem Khan
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: We present two collocation algorithms based on interpolating and approximating subdivision schemes for the solution of fourth order boundary value problems arising in the mathematical modeling of viscoelastic, and inelastic flows, deformation of beams, arches, and load bearing members like street lights and robotic arms in multipurpose engineering systems. Numerical examples are given to illustrate the algorithms. We conclude that approximating schemes based collocation algorithms give better solution than interpolating schemes based collocation algorithms. Main purpose of this paper is to explore and seek the applications of interpolating and approximating subdivision schemes in the field of boundary value problems along with intrinsic comparison of the results obtained by algorithms based on these schemes. A comparison with other approaches of this type of boundary value problems in order to see the advantages of the proposed methods is also given.
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 70E60
zbMATH DE Number: 6925837
Wikidata QID: Q59117697
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/240138
OpenAlex ID: W1563275083
cites work: Sur une courbe plane
cites work: A 4-point interpolatory subdivision scheme for curve design
cites work: The mask of (\(2b + 4\))-point \(n\)-ary subdivision scheme
cites work: \((2n - 1)\)-point ternary approximating and interpolating subdivision schemes
cites work: The mask of odd points \(n\)-ary interpolating subdivision scheme
cites work: Generalized and Unified Families of Interpolating Subdivision Schemes
cites work: Symmetric iterative interpolation processes
cites work: A unified interpolatory subdivision scheme for quadrilateral meshes
cites work: Binary univariate dual and primal subdivision schemes
cites work: Polynomial reproduction for univariate subdivision schemes of any arity
cites work: Solving two point boundary value problems by interpolatory subdivision algorithms
cites work: A collocation method for solving a class of singular nonlinear two-point boundary value problems
cites work: Numerical solution of two-point boundary value problems by interpolating subdivision schemes
cites work: Finite difference methods for a certain two point boundary value problem
cites work: A new approach to numerical differentiation and integration
cites work: A collocation method for boundary value problems
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description: scientific article; zbMATH DE number 6925837