A finite element approximation for the initial-value problem for nonlinear second-order differential equations. II: Systems

DOI10.1016/0022-247X(86)90028-4zbMath0609.65054MaRDI QIDQ1086990

Marvin Zeman, Mohsen Badiey, John Gregory

Publication date: 1986

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

zbMATH Keywords

numerical examplesystemserror estimatesfinite elementquadrature rulesecond order difference equationdiscrete Gronwall-type lemmapiecewise linear basic function

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 (2)

Numerical methods for extremal problems in the calculus of variations and optimal control theory ⋮ Numerical methods for nonlinear optimal control problems: Application to abnormal problems

Cites Work

• A Galerkin approximation for the initial-value problem for linear second- order differential equations
• A finite element approximation for the initial-value problem for nonlinear second-order differential equations
• Quadratic form theory and differential equations
• Unnamed Item
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