Higher order method for singular boundary-value problems by using spline function

DOI10.1016/j.amc.2007.02.156zbMath1193.65127OpenAlexW2085608670MaRDI QIDQ990506

Manoj Kumar

Publication date: 1 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2007.02.156

zbMATH Keywords

finite difference methodcontinuity conditionssingular boundary-value problemsspline solution

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 (7)

Multigrid methods for cubic spline solution of two point (and 2D) boundary value problems ⋮ Haar wavelet collocation method for Lane-Emden equations with Dirichlet, Neumann and Neumann-Robin boundary conditions ⋮ Methods for solving singular boundary value problems using splines: a review ⋮ Compact alternating group explicit method for the cubic spline solution of two point boundary value problems with significant nonlinear first derivative terms ⋮ 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 ⋮ A new numerical algorithm for 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

Cites Work

• Unnamed Item
• 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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