A finite element approximation for the initial-value problem for nonlinear second-order differential equations

DOI10.1016/0022-247X(85)90202-1zbMath0585.65052MaRDI QIDQ1070780

Mohsen Badiey, Marvin Zeman, John Gregory

Publication date: 1985

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

numerical exampleerror estimatesfinite elementRunge-Kutta methodsdirect methoddirect methodsGalerkin

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (3)

A finite element approximation for the initial-value problem for nonlinear second-order differential equations. II: Systems ⋮ A conjugate gradient algorithm for large-scale nonlinear equations and image restoration problems ⋮ Numerical extremal methods and biological models

Cites Work

• Quadratic form theory and differential equations
• Existence and oscillation theorems for a class of non-linear second order differential equations
• Interpolation and Integration of Initial Value Problems of Ordinary Differential Equations by Regular Splines
• Spline Function Approximations for Solutions of Ordinary Differential Equations
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