Additive parameters methods for the numerical integration of \(y=f(t,y,y')\)

DOI10.1016/0377-0427(94)00127-8zbMath0861.65061OpenAlexW2153890281MaRDI QIDQ1919428

A. Sesappa Rai, U. Ananthakrishnaiah

Publication date: 13 October 1996

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

Full work available at URL: https://doi.org/10.1016/0377-0427(94)00127-8

zbMATH Keywords

absolute stabilitynumerical exampleserror boundsecond-order differential equationBessel differential equationLegendre differential equationadditive parameters methodstwo step fourth-order method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Related Items

Obrechkoff methods having additional parameters for general second-order differential equations ⋮ A class of explicit two-step superstable methods for second-order linear initial value problems ⋮ Third (fourth) order accurate two-step super-stable cubic spline polynomial approximation for the second order non-linear initial-value problems ⋮ Super-stable spline-in-tension numerical method of order three(four) for the second order nonlinear IVPs ⋮ On the absolute stability of a two-step third order method on a graded mesh for an initial-value problem ⋮ On the stability of two new two-step explicit methods for the numerical integration of second order initial value problem on a variable mesh

Cites Work

• Unnamed Item
• Unnamed Item
• A class of two-step \(P\)-stable methods for the accurate integration of second order periodic initial value problems
• Adaptive methods for periodic initial value problems of second order differential equations
• P-stable methods for periodic initial value problems of second order differential equations
• Symmetric Multistip Methods for Periodic Initial Value Problems
• Discussion of a paper By K. K. GUPTA

This page was built for publication: Additive parameters methods for the numerical integration of \(y=f(t,y,y')\)