A sixth order predictor-corrector method for periodic IVPs

DOI10.1016/0893-9659(89)90119-5zbMath0705.65054OpenAlexW2093111591MaRDI QIDQ918150

David A. Voss, Abdul Q. M. Khaliq

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0893-9659(89)90119-5

zbMATH Keywords

predictor-corrector schemeinterval of periodicityfourth order Numerov-type explicit methodimplicit correctorsixth order explicit method

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (4)

Some new implicit two-step multiderivative methods for solving special second-order IVP's ⋮ A new family of explicit linear two-step singularly P-stable Obrechkoff methods for the numerical solution of second-order IVPs ⋮ Parallel methods for initial value problems ⋮ A high order predictor-corrector method for periodic IVPs

Cites Work

• Multiderivative Methods for Periodic Initial Value Problems
• P-Stable Obrechkoff Methods with Minimal Phase-Lag for Periodic Initial Value Problems
• Numerical Methods for y″ =f(x, y) via Rational Approximations for the Cosine
• Symmetric Multistip Methods for Periodic Initial Value Problems
• On accuracy and unconditional stability of linear multistep methods for second order differential equations

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