The iterated defect correction methods for singular two-point boundary value problems

DOI10.1080/00207169808804727zbMath0930.65085OpenAlexW2002564722MaRDI QIDQ4256135

Sennur Somali, S. Ertem

Publication date: 1 February 2000

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169808804727

zbMATH Keywords

numerical exampleserror boundssingular two-point boundary value problemsiterated defect correctioncentered Euler method

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (2)

Implicit Midpoint Rule to the Nonlinear Degenerate Boundary Value Problems ⋮ Implicit midpoint rule and extrapolation to singularly perturbed boundary alue problems

Cites Work

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• Finite difference methods and their convergence for a class of singular two point boundary value problems
• On the estimation of errors propagated in the numerical integration of ordinary differential equations
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• On a collocation method for singular two point boundary value problems
• Projection methods and singular two point boundary value problems
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• Numerical methods of high-order accuracy for singular nonlinear boundary value problems
• A numerical method for solving singular boundary value problems
• An error analysis of iterated defect correction methods for linear differential-algebraic equations
• Difference Methods for Boundary Value Problems in Ordinary Differential Equations
• A Numerical Method for Singular Two Point Boundary Value Problems
• One‐, two‐ and three‐grid extrapolation methods for a class of singular two‐point boundary value problems

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