Solving two point boundary value problems by interpolatory subdivision algorithms

DOI10.1080/00207169608804492zbMath1001.65522OpenAlexW2069326227MaRDI QIDQ2710767

Ruibin Qu, Ravi P. Agarwal

Publication date: 19 December 2002

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169608804492

zbMATH Keywords

interpolationboundary value problemsapproximationsubdivision algorithmmethod of collocation

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (13)

A subdivision based iterative collocation algorithm for nonlinear third-order boundary value problems ⋮ A new approach to numerical differentiation and integration ⋮ The refinement-schemes-based unified algorithms for certain \(n\)th order linear and nonlinear differential equations with a set of constraints ⋮ A collocation method for solving a class of singular nonlinear two-point boundary value problems ⋮ Subdivision schemes based collocation algorithms for solution of fourth order boundary value problems ⋮ Subdivision collocation method for one-dimensional Bratu's problem ⋮ Numerical solution of two-point boundary value problems by interpolating subdivision schemes ⋮ 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 ⋮ An iterative scheme for solving nonlinear two point boundary value problems ⋮ A collection of computational techniques for solving singular boundary-value problems ⋮ A subdivision-based approach for singularly perturbed boundary value problem ⋮ A subdivision approach to the construction of approximate solutions of boundary-value problems with deviating arguments

Cites Work

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• A 4-point interpolatory subdivision scheme for curve design
• Quintic spline solutions of boundary value problems
• Interpolation through an iterative scheme
• Orthonormal bases of compactly supported wavelets
• A Sixth-order Tridiagonal Finite Difference Method for General Non-linear Two-point Boundary Value Problems
• A Comparison of Collocation and Finite Differences for Two-Point Boundary Value Problems
• A sixth order tridiagonal finite difference method for non-linear two-point boundary value problems
• Cubic spline solutions to two-point boundary value problems

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