Cubic Lidstone-spline for numerical solution of BVPs

DOI10.1016/j.matcom.2017.01.006OpenAlexW2583029242MaRDI QIDQ2229115

Giada Serafini, Maria Italia Gualtieri, Francesco Aldo Costabile

Publication date: 19 February 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2017.01.006

zbMATH Keywords

boundary value problemcubic splineLidstone polynomials

Mathematics Subject Classification ID

Numerical analysis (65-XX) Approximations and expansions (41-XX)

Related Items (4)

Numerical solution of fourth-order BVPs by using Lidstone-collocation method ⋮ Numerical solution of two-point nonlinear boundary value problems via Legendre-Picard iteration method ⋮ Odd and even Lidstone-type polynomial sequences. I: Basic topics ⋮ Lidstone-based collocation splines for odd-order BVPs

Cites Work

• BS2 methods for semi-linear second order boundary value problems
• Spline solutions of linear twelfth-order boundary-value problems
• Optimal quadratic and cubic spline collocation on nonuniform partitions
• Quintic spline solutions of boundary value problems
• Spline function approximation for differential equations
• Explicit polynomial expansions of regular real functions by means of even order Bernoulli polynomials and boundary values
• Lidstone polynomials and boundary value problems
• Cubic spline for a class of singular two-point boundary value problems
• Spline solutions for system of second-order boundary-value problems
• Spline collocation approach to boundary value problems
• A connection between quartic spline solution and numerov solution of a boundary value problem
• Solving two-point boundary value problems with spline functions
• A Collocation Method for Two-Point Boundary Value Problems
• NUMERICAL SOLUTION OF BOUNDARY VALUE PROBLEMS FOR SECOND ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS BY THE USE OF CUBIC SPLINES
• Piecewise Cubic Interpolation and Two-Point Boundary Problems
• Cubic spline solutions to two-point boundary value problems
• The use of cubic splines in the solution of two-point boundary value problems
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