On the method of modified equations. VI: Asymptotic analysis of and asymptotic successive-corrections techniques for two-point, boundary-value problems in ODE's

DOI10.1016/S0096-3003(98)10099-1zbMath1030.65085OpenAlexW2146001979MaRDI QIDQ1569084

Juan I. Ramos, Francisco R. Villatoro

Publication date: 25 June 2000

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(98)10099-1

zbMATH Keywords

comparison of methodserror boundsasymptotic analysistwo-point boundary-value problemsmethod of modified equationsasymptotic successive-corrections techniquesimplicit centered finite difference scheme

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45) 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)

Asymptotic analysis of finite difference methods ⋮ On the method of modified equations. VI: Asymptotic analysis of and asymptotic successive-corrections techniques for two-point, boundary-value problems in ODE's

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