High-order continuous third derivative formulas with block extensions fory″=f(x, y, y′)

DOI10.1080/00207160.2013.766329zbMath1291.65211OpenAlexW2088041582MaRDI QIDQ5416439

A. B. Sofoluwe, A. O. Akinfenwa, Samuel N. Jator, Solomon A. Okunuga

Publication date: 20 May 2014

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2013.766329

zbMATH Keywords

initial value problemssecond ordercontinuous methodthird derivativeblock extension

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (6)

Adapted block hybrid method for the numerical solution of Duffing equations and related problems ⋮ An adaptive one-point second-derivative Lobatto-type hybrid method for solving efficiently differential systems ⋮ A trigonometrically fitted intra-step block Falkner method for the direct integration of second-order delay differential equations with oscillatory solutions ⋮ Implementation of the one-step one-hybrid block method on the nonlinear equation of a circular sector oscillator ⋮ A functionally-fitted block Numerov method for solving second-order initial-value problems with oscillatory solutions ⋮ Unnamed Item

Cites Work

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• Solving second order initial value problems by a hybrid multistep method without predictors
• Efficient P-stable methods for periodic initial value problems
• Two-step hybrid collocation methods for \(y^{\prime\prime} = f(x,y)\)
• Efficient sixth order methods for nonlinear oscillation problems
• A theory for Nyström methods
• Explicit, high-order Runge-Kutta-Nyström methods for parallel computers
• Variable stepsize implementation of multistep methods for \(y\prime\prime =f(x,y,y^{\prime})\)
• Stabilization of Cowell's method
• A new sixth-order algorithm for general second order ordinary differential equations
• Solving Ordinary Differential Equations I
• Multiderivative Methods for Periodic Initial Value Problems
• The Analysis of Generalized Backward Difference Formula Methods Applied to Hessenberg Form Differential-Algebraic Equations
• On a class of spline-collocation methods for solving second-order initial-value problems
• A self-starting linear multistep method for a direct solution of the general second-order initial value problem
• Families of three-stage third order Runge-Kutta-Nyström methods for y″ = f (x, y, y′)
• A One-step Method of Order 10 for y″ = f(x, y)
• Block methods for second order odes
• Symmetric Multistip Methods for Periodic Initial Value Problems
• Continuous finite difference approximations for solving differential equations
• EXPLICIT EIGHTH ORDER TWO-STEP METHODS WITH NINE STAGES FOR INTEGRATING OSCILLATORY PROBLEMS
• Cyclic Composite Multistep Predictor-Corrector Methods
• Mixed collocation methods for \(y=f(x,y)\)

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