Extensions of the method of quasilinearization

DOI10.1007/BF02192570zbMath0837.65068OpenAlexW4231266475MaRDI QIDQ1906742

Vangipuram Lakshmikantham, Seenith Sivasundaram, S. G. Leela

Publication date: 27 May 1996

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

Full work available at URL: https://doi.org/10.1007/bf02192570

zbMATH Keywords

initial value problemquasilinearizationlower and upper bounds

Mathematics Subject Classification ID

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

Related Items (19)

Multipoint boundary value problems for ODEs. part I ⋮ Quasilinearization applied to boundary value problems at resonance for Riemann-Liouville fractional differential equations ⋮ A quadratic monotone iteration scheme for two-point boundary value problems for ordinary differential equations ⋮ On extending the quasilinearization method to higher order convergent hybrid schemes using the spectral homotopy analysis method ⋮ An iterative scheme for numerical solution of Volterra integral equations using collocation method and Chebyshev polynomials ⋮ Computational analysis of heat and mass transfer in a micropolar fluid flow through a porous medium between permeable channel walls ⋮ Improved generalized quasilinearization (GQL) method ⋮ Generalized perturbation equation for integral and integro-differential equations and applications ⋮ Methods of generalized quasilinearization for periodic boundary value problems ⋮ Further improvement of generalized quasilinearization method ⋮ Extended method of quasilinearization for systems of nonlinear differential equations ⋮ Convergence of monotone iterations to initial value problems of functional differential equations ⋮ Monotone methods for systems of nonlinear hyperbolic problems in two independent variables ⋮ Quadratic approximation of solutions for boundary value problems with nonlocal boundary conditions ⋮ Quasilinearization and boundary value problems at resonance ⋮ Boundary Value Problems for Odes ⋮ Multipoint Boundary Value Problems for Odes. Part II ⋮ Unnamed Item ⋮ Functional differential equations

Cites Work

• An extension of the method of quasilinearization
• Methods of nonlinear analysis. Vol. II
• Generalized quasilinearization of stochastic initial value problem
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