Methods for solving singular boundary value problems using splines: a review
DOI10.1007/s12190-009-0249-2zbMath1186.65104OpenAlexW2036642868MaRDI QIDQ2379903
Publication date: 23 March 2010
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12190-009-0249-2
splinesfinite difference methodpolynomial splinessingular boundary value problemsB-splinesurvey articlequasi-linearizationparametric splinestwo-parameter alternating group explicit method
Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) 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 (13)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An \(O(h^4)\) accurate cubic spline TAGE method for nonlinear singular two point boundary value problems
- A generalized spline method for singular boundary value problems of ordinary differential equations
- Numerical solution of singular boundary value problems by invariant imbedding
- B-spline solution of singular boundary value problems
- The numerical solution of nonlinear singular boundary value problems arising in physiology
- Higher order method for singular boundary-value problems by using spline function
- Cubic spline and invariant imbedding for solving singular two-point boundary value problems
- Order \(h^ 2\) method for a singular two-point boundary value problem
- A fourth-order spline method for singular two-point boundary-value problems
- Spline finite difference methods for singular two point boundary value problems
- A Taylor series method for the numerical solution of two-point boundary value problems
- Invariant imbedding applied to homogeneous two-point boundary-value problems with a singularity of the first kind
- Finite difference methods and their convergence for a class of singular two point boundary value problems
- On a collocation method for singular two point boundary value problems
- A practical guide to splines
- Linear half-wave rectification of modulated sinusoids
- A second order spline finite difference method for singular two-point boundary value problems.
- Numerical solution of singular boundary value problems via Chebyshev polynomial and B-spline
- Existence and uniqueness of solutions of a class of two-point singular nonlinear boundary value problems
- A fourth-order finite difference method based on uniform mesh for singular two-point boundary-value problems
- Projection methods and singular two point boundary value problems
- Cubic spline for solving singular two-point boundary value problems
- B-spline interpolation compared with finite difference, finite element and finite volume methods which applied to two-point boundary value problems
- Parametric spline method for a class of singular two-point boundary value problems
- B-spline method for a class of singular two-point boundary value problems using optimal grid
- Cubic spline polynomial for non-linear singular two-point boundary value problems
- Cubic spline for a class of nonlinear singular boundary value problems arising in physiology
- 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 numerical method for solving singular boundary value problems
- Cubic spline for a class of singular two-point boundary value problems
- Finite Difference Methods for Singular Two-Point Boundary Value Problems
- A Finite-difference Method for a Class of Singular Two-point 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
- Finite Element Methods of High-Order Accuracy for Singular Two-Point Boundary Value Problems with Nonsmooth Solutions
- Difference Methods for Boundary Value Problems with a Singularity of the First Kind
- A Numerical Method for Singular Two Point Boundary Value Problems
- The numerical solution of third-order boundary-value problems with fourth-degree &B-spline functions
- A finite-difference method for the spectral approximation of a class of singular two-point boundary value problems
- On a finite difference method for singular two-point boundary value problems
- A fourth-order spline finite difference method for singular two-point boundary value problems
- On the Convergence of a Spline Method for Singular Two Point Boundary Value Problems Arising in Physiology
- Solving Index-1 DAEs in MATLAB and Simulink
- A Fourth Order Accurate Cubic Spline Alternating Group Explicit Method For Non-Linear Singular Two Point Boundary Value Problems*
- An non-uniform mesh cubic spline TAGE method for non-linear singular two-point boundary value problems
- 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
- Increased Accuracy Cubic Spline Solutions to Two-Point Boundary Value Problems
- Correction method and extrapolation method for singular two-point boundary value problems
This page was built for publication: Methods for solving singular boundary value problems using splines: a review