Extension of the method of quasilinearization and rapid convergence

DOI10.1023/A:1022620813436zbMath0908.65056MaRDI QIDQ1264978

K. Appert

Publication date: 2 December 1998

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

convergenceupper and lower solutionsquasilinearizationnonlinear initial-value problems

Mathematics Subject Classification ID

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

Related Items

Improved generalized quasilinearization method and rapid convergence for reaction diffusion equations ⋮ Rapid convergence of approximate solutions for fractional differential equations ⋮ Convergence of antiperiodic boundary value problems for first-order integro-differential equations ⋮ Generalized quasilinearization method and rapid convergence for first order initial value problems ⋮ Quasilinearization and rate of convergence for higher-order nonlinear periodic boundary-value problems ⋮ Generalized quasilinearization method and higher order of convergence for second-order boundary value problems ⋮ Higher order convergence for a class of set differential equations with initial conditions ⋮ Cubic and quartic convergence for first-order periodic boundary-value problems

Cites Work

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• A generalized Bellman-Kalaba solution formula for first order differential equations
• Further generalization of generalized quasilinearization method
• Methods of nonlinear analysis. Vol. 1
• FUNCTIONAL EQUATIONS IN THE THEORY OF DYNAMIC PROGRAMMING. V. POSITIVITY AND QUASI-LINEARITY
• Improved generalized quasilinearization (GQL) method
• Further improvement of generalized quasilinearization method