Implicit midpoint rule and extrapolation to singularly perturbed boundary alue problems

DOI10.1080/00207160008804969zbMath0961.65068OpenAlexW1983541030MaRDI QIDQ4498122

S. Davulcu, Sennur Somali

Publication date: 24 August 2000

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

Full work available at URL: https://doi.org/10.1080/00207160008804969

zbMATH Keywords

convergencesingular perturbationnumerical examplesRichardson extrapolationmidpoint rule

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular perturbations for ordinary differential equations (34E15)

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Ergodicity of the implicit midpoint rule for nonexpansive mappings ⋮ Modified semi-implicit midpoint rule for nonexpansive mappings ⋮ Implicit Midpoint Rule to the Nonlinear Degenerate Boundary Value Problems ⋮ A Generalized Nonlinear Iterative Algorithm for the Explicit Midpoint Rule of Nonexpansive Semigroup ⋮ General viscosity implicit midpoint rule for nonexpansive mapping ⋮ A note on the parabolic equation with an arbitrary parameter at the derivative ⋮ The implicit midpoint rule for nonexpansive mappings ⋮ Improvement of eigenvalues of Sturm-Liouville problem with \(t\)-periodic boundary conditions ⋮ The implicit midpoint procedures for asymptotically nonexpansive mappings ⋮ A new viscosity semi-implicit midpoint rule for strict pseudo-contractions and (α, β)-generalized hybrid mappings

Cites Work

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• On the extrapolation for a singularly perturbed boundary value problem
• Solving singularly perturbed boundary-value problems by spline in tension
• Uniform fourth order difference scheme for a singular perturbation problem
• The method of iterated defect-correction and its application to two-point boundary value problems. II
• Higher order schemes and Richardson extrapolation for singular perturbation problems
• Difference Methods for Boundary Value Problems in Ordinary Differential Equations
• The iterated defect correction methods for singular two-point boundary value problems

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