On the approximate solution of autonomous boundary-value problems by the least-squares method

DOI10.1007/s11072-010-0095-zzbMath1277.65056OpenAlexW2072683808MaRDI QIDQ386602

Sergeĭ Mikhaĭlovich Chuĭko, O. V. Nesmelova

Publication date: 9 December 2013

Published in: Nonlinear Oscillations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11072-010-0095-z

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (10)

On the approximate solution of weakly nonlinear boundary-value problems by the Newton-Kantorovich method ⋮ Autonomous Noether boundary-value problems not solved with respect to the derivative ⋮ On the approximate solution of an autonomous boundary value problem by the Newton-Kantorovich method ⋮ Adomian's decomposition method in the theory of nonlinear autonomous boundary-value problems ⋮ On the reduction of an autonomous nonlinear boundary value problem unsolved with respect to the derivative to the first-order critical case ⋮ On periodic solutions of autonomous systems ⋮ On the approximate solution of matrix differential-algebraic boundary-value problems by the least-squares method ⋮ On approximate solutions of nonlinear boundary-value problems by the Newton-Kantorovich method ⋮ Least-squares method in the theory of matrix differential-algebraic boundary-value problems ⋮ Nonlinear Noetherian boundary-value problem in the case of parametric resonance

Cites Work

• On an approximate solution of boundary-value problems by the least squares method
• Autonomous Noetherian boundary-value problem in the critical case
• Domain of convergence of an iterative procedure for an autonomous boundary-value problem
• Power Series Expansions for the Frequency and Period of the Limit Cycle of the Van Der Pol Equation
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