Higher-order finite-difference methods for nonlinear second-order two-point boundary-value problems

DOI10.1016/S0893-9659(02)00060-5zbMath1013.65078MaRDI QIDQ1861817

E. H. Twizell, Ikram A. Tirmizi

Publication date: 10 March 2003

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

convergencenumerical examplesfinite-difference methodssecond-order nonlinear boundary-value problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (23)

Solving higher order nonlinear ordinary differential equations with least squares support vector machines ⋮ The numerical solution of second-order boundary-value problems by collocation method with the Haar wavelets ⋮ A superconvergent ultra-weak discontinuous Galerkin method for nonlinear second-order two-point boundary-value problems ⋮ An iterative technique for a class of Dirichlet nonlinear BVPs: Troesch's problem ⋮ Unnamed Item ⋮ High order multiplication perturbation method for singular perturbation problems ⋮ A smart nonstandard finite difference scheme for second order nonlinear boundary value problems ⋮ A numerical approach to nonlinear two-point boundary value problems for ODEs ⋮ Efficient shooting method for solving two point boundary value problems ⋮ A superconvergent local discontinuous Galerkin method for nonlinear two-point boundary-value problems ⋮ Fractal quintic spline method for nonlinear boundary-value problems ⋮ Replacing the finite difference methods for nonlinear two-point boundary value problems by successive application of the linear shooting method ⋮ Non-polynomial spline method for solving Bratu's problem ⋮ Solving boundary value problems of ordinary differential equations with non-separated boundary conditions ⋮ Unnamed Item ⋮ Analysis of optimal superconvergence of a local discontinuous Galerkin method for nonlinear second-order two-point boundary-value problems ⋮ Polynomial spline approach for solving second-order boundary-value problems with Neumann conditions ⋮ A Novel Method for Nonlinear Boundary Value Problems Based on Multiscale Orthogonal Base ⋮ Unnamed Item ⋮ Constructive proof for existence of nonlinear two-point boundary value problems ⋮ Unnamed Item ⋮ Modified iteration method for numerical solution of nonlinear differential equations arising in science and engineering ⋮ A third-order finite difference method on a quasi-variable mesh for nonlinear two point boundary value problems with Robin boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multiderivative methods for non-linear second-order boundary value problems
• Solution of Troesch's two-point boundary value problem by shooting technique
• Solution of Troesch's two-point boundary value problem by a combination of techniques
• Solution of Troesch's, and other, two point boundary value problems by shooting techniques
• A sixth order tridiagonal finite difference method for non-linear two-point boundary value problems
• An eighth order tridiagonal finite difference method for nonlinear two-point boundary value problems
• A method of high-order accuracy for the numerical integration of boundary value problems
• An 0(h⁶) Finite Difference Analogue for the Numerical Solution of a Two Point Boundary Value Problem

This page was built for publication: Higher-order finite-difference methods for nonlinear second-order two-point boundary-value problems