A new fourth-order cubic spline method for second-order nonlinear two- point boundary-value problems

DOI10.1016/0377-0427(88)90326-3zbMath0652.65058OpenAlexW2004698903MaRDI QIDQ1107279

S. H. Smith

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0377-0427(88)90326-3

zbMATH Keywords

numerical examplessecond order equationfourth order cubic spline method

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (13)

Multigrid methods for cubic spline solution of two point (and 2D) boundary value problems ⋮ Symmetric spline procedures for boundary value problems with mixed boundary conditions ⋮ A fourth-order spline method for singular two-point boundary-value problems ⋮ On a finite element method for the equations of one-dimensional nonlinear thermoviscoelasticity ⋮ Compact alternating group explicit method for the cubic spline solution of two point boundary value problems with significant nonlinear first derivative terms ⋮ A second order spline finite difference method for singular two-point boundary value problems. ⋮ Fractal quintic spline method for nonlinear boundary-value problems ⋮ Higher order method for singular boundary-value problems by using spline function ⋮ On the error estimation of spline method for second order boundary value problem ⋮ On the (0,4) lacunary interpolation problem and some related questions ⋮ Solving two-point boundary value problems by means of deficient quartic splines ⋮ A fourth-order spline finite difference method for singular two-point boundary value problems ⋮ Coupled reduced alternating group explicit algorithm for third order cubic spline method on a non-uniform mesh for nonlinear singular two point boundary value problems

Uses Software

• COLSYS

Cites Work

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• Unnamed Item
• A New Fourth Order Cubic Spline Method for Non-Linear Two-Point Boundary Value Problems
• Collocation Software for Boundary-Value ODEs
• A Fourth-order Tridiagonal Finite Difference Method for General Non-linear Two-point Boundary Value Problems with Mixed Boundary Conditions
• A Collocation Solver for Mixed Order Systems of Boundary Value Problems
• Collocation for Two-Point Boundary Value Problems Revisited
• Piecewise Cubic Interpolation and Two-Point Boundary Problems
• The use of cubic splines in the solution of two-point boundary value problems
• Collocation at Gaussian Points

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