ON ASYMPTOTIC ERROR EXPANSIONS FOR SINGULAR BOUNDARY VALUE PROBLEMS

DOI10.1142/S0218202501000751zbMath1012.65085OpenAlexW2158003243MaRDI QIDQ4798852

Florian Frommlet, Ewa B. Weinmüller

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202501000751

zbMATH Keywords

finite difference schemesingular boundary value problemsasymptotic error bound

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) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (4)

The convergence of shooting methods for singular boundary value problems ⋮ A new approach to constructing of explicit one-step methods of high order for singular initial value problems for nonlinear ordinary differential equations ⋮ Piecewise quasilinearization techniques for singular boundary-value problems ⋮ Two-dimensional viscous flow between circular cylinders: application to damping devices for seismic isolation.

Cites Work

• The method of iterated defect-correction and its application to two-point boundary value problems. I
• The method of iterated defect-correction and its application to two-point boundary value problems. II
• Numerical Methods for Singular Boundary Value Problems
• On the Boundary Value Problem for Systems of Ordinary Second Order Differential Equations with a Singularity of the First Kind
• On the Numerical Solution of Singular Boundary Value Problems of Second Order by a Difference Method
• Difference Methods for Boundary Value Problems with a Singularity of the First Kind
• On the Nonunique Equilibrium States and Buckling Mechanism of Spherical Shells

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