Numerical solution of two-point boundary value problems by interpolating subdivision schemes

DOI10.1155/2014/721314zbMath1474.65024OpenAlexW2107470883WikidataQ59040900 ScholiaQ59040900MaRDI QIDQ1724816

Ghulam Mustafa, Syeda Tehmina Ejaz

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/721314

Mathematics Subject Classification ID

Numerical interpolation (65D05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (7)

Numerical approximation for the solution of linear sixth order boundary value problems by cubic B-spline ⋮ A subdivision based iterative collocation algorithm for nonlinear third-order boundary value problems ⋮ The refinement-schemes-based unified algorithms for certain \(n\)th order linear and nonlinear differential equations with a set of constraints ⋮ Subdivision schemes based collocation algorithms for solution of fourth order boundary value problems ⋮ A SUBDIVISION COLLOCATION METHOD FOR SOLVING TWO POINT BOUNDARY VALUE PROBLEMS OF ORDER THREE ⋮ A 6-point subdivision scheme and its applications for the solution of 2nd order nonlinear singularly perturbed boundary value problems ⋮ A subdivision-based approach for singularly perturbed boundary value problem

Cites Work

• \((2n - 1)\)-point ternary approximating and interpolating subdivision schemes
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• Sur une courbe plane
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• A 4-point interpolatory subdivision scheme for curve design
• Symmetric iterative interpolation processes
• A subdivision approach to the construction of approximate solutions of boundary-value problems with deviating arguments
• The mask of odd points \(n\)-ary interpolating subdivision scheme
• Polynomial reproduction for univariate subdivision schemes of any arity
• Solving two point boundary value problems by interpolatory subdivision algorithms
• The numerical solution of third-order boundary-value problems with fourth-degree &B-spline functions
• Generalized and Unified Families of Interpolating Subdivision Schemes
• Unnamed Item

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