Numerical solution of general nth-order differential equations via splines

DOI10.1016/0168-9274(90)90016-9zbMath0692.65035OpenAlexW2055896346WikidataQ127846516 ScholiaQ127846516MaRDI QIDQ583847

Jianyong Qiao, Sumit K. Garg

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0168-9274(90)90016-9

zbMATH Keywords

stabilityrate of convergencesplinesconsistencymultistep methods

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)

Related Items (4)

On some 4-Point Spline Collocation Methods for Solving Ordinary Initial Value Problems ⋮ Multilayer perceptrons and radial basis function neural network methods for the solution of differential equations: a survey ⋮ Stable quartic spline integration method for solving stiff ordinary differential equations ⋮ On some 4-point spline collocation methods for solving second-order initial value problems

Cites Work

• A deficient spline function approximation to systems of first-order differential equations. II
• Splineapproximationen von beliebigem Defekt zur numerischen Lösung gewöhnlicher Differentialgleichungen. Teil II
• Deficient spline function approximation to second-order differential equations
• Convergence and stability of step-by-step methods for the numerical solution of initial-value problems
• A numerical method for solving initial-value-problems with spline functions
• Spline Functions Approximating the Solution of Nonlinear Differential Equation of n^th Order
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