A fourth-order spline finite difference method for singular two-point boundary value problems

DOI10.1080/0020716031000148179zbMath1045.65066OpenAlexW2001996490MaRDI QIDQ4467345

Manoj Kumar

Publication date: 9 June 2004

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

Full work available at URL: https://doi.org/10.1080/0020716031000148179

zbMATH Keywords

convergencefinite difference methodnumerical examplescontinuity conditionssingular two-point boundary value problemsspline solution

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (7)

An efficient numerical technique for the solution of nonlinear singular boundary value problems ⋮ Methods for solving singular boundary value problems using splines: a review ⋮ A uniform mesh finite difference method for a class of singular two-point boundary value problems ⋮ A cubic spline approximation and application of TAGE iterative method for the solution of two point boundary value problems with forcing function in integral form ⋮ Computational technique for singular boundary value problems by using numerical quadrature ⋮ A non-uniform mesh finite difference method and its convergence for a class of singular two-point boundary value problems ⋮ Solution of a class of singular boundary value problems

Cites Work

• Spline finite difference methods for singular two point boundary value problems
• A new fourth-order cubic spline method for second-order nonlinear two- point boundary-value problems
• Finite difference methods and their convergence for a class of singular two point boundary value problems
• A three-point finite difference method for a class of singular two-point boundary value problems
• A fourth-order finite difference method based on uniform mesh for singular two-point boundary-value problems
• On the convergence of finite-difference approximations to one-dimensional singular boundary-value problems
• Numerical methods of high-order accuracy for singular nonlinear boundary value problems
• A Uniform Mesh Finite Difference Method for a Class of Singular Two-Point Boundary Value Problems
• A New Fourth Order Cubic Spline Method for Non-Linear Two-Point Boundary Value Problems
• Piecewise Cubic Interpolation and Two-Point Boundary Problems
• The use of cubic splines in the solution of two-point boundary value problems
• A fourth-order finite-difference method based on non-uniform mesh for a class of singular two-point boundary value problems

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