Numerov’s Method with Deferred Corrections for Two-Point Boundary-Value Problems

DOI10.1137/0714071zbMath0366.65033OpenAlexW2045399443MaRDI QIDQ4142629

James W. Daniel, Andrew J. Martin

Publication date: 1977

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0714071

Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (13)

A Collocation Solver for Mixed Order Systems of Boundary Value Problems ⋮ Deferred corrections using uncentered end formulas ⋮ Extrapolation with spline-collocation methods for two-point boundary- value problems. II: \(C^ 2-\)cubics ⋮ Discrete Newton methods and iterated defect corrections ⋮ Lobatto deferred correction for stiff two-point boundary value problems ⋮ Defect Correction for Two-Point Boundary Value Problems on Nonequidistant Meshes ⋮ High-order convergent deferred correlation schemes based on parameterized Runge-Kutta-Nyström methods for second-order boundary value problems ⋮ Numerical solutions of two-point boundary value problems ⋮ Runge-Kutta methods for the solution of stiff two-point boundary value problems ⋮ On improving the absolute stability of local extrapolation ⋮ A variable order deferred correction algorithm for the numerical solution of nonlinear two point boundary value problems ⋮ A finite difference algorithm for coupled nonlinear ordinary differential equations ⋮ Adaptive Runge-Kutta methods for nonlinear two-point boundary value problems with mild boundary layers

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