Solution of fifth order boundary value problems by using local polynomial regression

DOI10.1016/j.amc.2006.08.046zbMath1118.65347OpenAlexW2056542244MaRDI QIDQ884539

Hikmet Caglar, Nazan Caglar

Publication date: 6 June 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.08.046

zbMATH Keywords

comparison of methodsnumerical examplesboundary value problemslocal polynomial regressionkernel functions

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (8)

An enhanced quartic B-spline method for a class of non-linear fifth-order boundary value problems ⋮ An \(O(h^6)\) numerical solution of general nonlinear fifth-order two point boundary value problems ⋮ Quartic B-spline collocation method for fifth order boundary value problems ⋮ A new cubic B-spline method for linear fifth order boundary value problems ⋮ An efficient computational method for linear fifth-order two-point boundary value problems ⋮ Spectral shifted Jacobi tau and collocation methods for solving fifth-order boundary value problems ⋮ Local polynomial regression solution for partial differential equations with initial and boundary values ⋮ Spline approximate solution of fifth-order boundary-value problem

Cites Work

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• B-spline solution of singular boundary value problems
• The numerical solution of fifth-order boundary value problems with sixth-degree B-spline functions
• Solution of fifth order boundary value problems using nonpolynomial spline technique
• Spline solutions of linear sixth-order boundary-value problems

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