A posteriori improvement of cubic spline approximate solution of two- point boundary value problem

DOI10.2977/prims/1195181834zbMath0554.65057OpenAlexW2070485150MaRDI QIDQ760186

Manabu Sakai

Publication date: 1984

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195181834

zbMATH Keywords

numerical examplescubic B-splineasymptotic expansion of errorschopping procedure

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (1)

Symmetric spline procedures for boundary value problems with mixed boundary conditions

Cites Work

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• Asymptotic expansions for the error of discretization algorithms for non- linear functional equations
• A collocation method for boundary value problems
• Piecewise cubic interpolation and two-point boundary value problems
• Asymptotic Expansions for Interpolating Periodic Splines
• Tridiagonal Fourth Order Approximations to General Two-Point Nonlinear Boundary Value Problems with Mixed Boundary Conditions
• An Adaptive Finite Difference Solver for Nonlinear Two-Point Boundary Problems with Mild Boundary Layers
• Adaptive Mesh Selection Strategies for Solving Boundary Value Problems
• Accurate Difference Methods for Linear Ordinary Differential Systems Subject to Linear Constraints
• Boundary Value Problems for Ordinary Differential Equations. II: Patch Bases and Monotone Methods

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