Numerical comparison of methods for solving second-order ordinary initial value problems

DOI10.1016/j.apm.2005.11.004zbMath1141.65369OpenAlexW1986998495MaRDI QIDQ924792

Elsie Sterbin Gottlieb

Publication date: 19 May 2008

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2005.11.004

zbMATH Keywords

algorithmnumerical resultsAdomian decomposition methodquintic splinesecond-order initial value problem

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (6)

On the existence of solutions for strongly nonlinear differential equations ⋮ ON A NEW DIFFERENTIAL TRANSFORMATION METHOD FOR SOLVING NONLINEAR DIFFERENTIAL EQUATIONS ⋮ Reliable algorithms for solving integro-differential equations with applications ⋮ Numerical methods for nonlinear fourth-order boundary value problems with applications ⋮ A reliable analytical method for solving higher-order initial value problems ⋮ Modified iteration method for numerical solution of nonlinear differential equations arising in science and engineering

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• Quintic \(C^2\)-spline integration methods for solving second-order ordinary initial value problems
• NUMERICAL SOLUTIONS OF SECOND ORDER IMPLICIT NON-LINEAR ORDINARY DIFFERENTIAL EQUATIONS
• Convergence of Adomian's Method
• Stability of collocation methods for the numerical solution ofy″=f (x,y)
• The Numerical Solution of Special Fourth-Order Boundary Value Problems by the Modified Decomposition Method

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