A variable order deferred correction algorithm for the numerical solution of nonlinear two point boundary value problems

DOI10.1016/0898-1221(83)90129-3zbMath0521.65069OpenAlexW2082536387MaRDI QIDQ1055177

Jeff R. Cash

Publication date: 1983

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(83)90129-3

zbMATH Keywords

comparisonnumerical resultsfinite difference methodsdeferred correctionlocal error estimatorimplicit Runge-Kutta formulae

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

A new mesh selection strategy for ODEs, Deferred correction with mono-implicit Runge-Kutta methods for first-order IVPs, A Unified Approach to Integration and Optimization of Parametric Ordinary Differential Equations, Numerical integration of non-linear two-point boundary-value problems using iterated deferred corrections—I, Diagonally implicit Runge-Kutta formulae for the numerical integration of nonlinear two-point boundary value problems, Adaptive Runge-Kutta methods for nonlinear two-point boundary value problems with mild boundary layers

Cites Work

• Unnamed Item
• Deferred corrections using uncentered end formulas
• On the design of high order exponentially fitted formulae for the numerical integration of stiff systems
• High order methods for the numerical solution of two-point boundary value problems
• On improving an approximate solution of a functional equation by deferred corrections
• Iterated deferred corrections for nonlinear boundary value problems
• On the Solution of Block Tridiagonal Systems of Linear Algebraic Equations Having a Special Structure
• A Theoretical Framework for Proving Accuracy Results for Deferred Corrections
• A Variable Order Finite Difference Method for Nonlinear Multipoint Boundary Value Problems
• Centrifugal instability of a Stokes layer: linear theory
• High Order Fast Laplace Solvers for the Dirichlet Problem on General Regions
• An Adaptive Finite Difference Solver for Nonlinear Two-Point Boundary Problems with Mild Boundary Layers
• A sixth order tridiagonal finite difference method for non-linear two-point boundary value problems
• Numerov’s Method with Deferred Corrections for Two-Point Boundary-Value Problems
• A Fourth-order Tridiagonal Finite Difference Method for General Non-linear Two-point Boundary Value Problems with Mixed Boundary Conditions
• An eighth order tridiagonal finite difference method for nonlinear two-point boundary value problems
• Difference Methods and Deferred Corrections for Ordinary Boundary Value Problems
• Coefficients for the study of Runge-Kutta integration processes
• The centrifugal instability of a Stokes layer: Asymmetric disturbances