A note on accurate estimations of the local truncation error of polynomial methods for differential equations

DOI10.1016/0893-9659(92)90017-4zbMath0760.65088OpenAlexW2082506709MaRDI QIDQ1206218

Mohamed K. El-Daou, Eduardo L. Ortiz

Publication date: 1 April 1993

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(92)90017-4

zbMATH Keywords

numerical examplesinitial value problemspolynomial coefficientscollocationpolynomial methodserror estimationssecond order differential equationsseries expansionslocal truncation errorTau method

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (2)

A note on accurate estimations of the local truncation error of polynomial methods for differential equations ⋮ A recursive formulation of collocation in terms of canonical polynomials

Cites Work

• Upper and lower error estimation for the Tau method and related polynomial techniques
• Error analysis of the Tau method: Dependence of the approximation error on the choice of perturbation term
• A note on accurate estimations of the local truncation error of polynomial methods for differential equations
• Step by step tau method. I: Piecewise polynomial approximations

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