High-order nonlinear initial-value problems countably determined

DOI10.1016/J.CAM.2008.08.039zbMath1169.65071OpenAlexW1991609695MaRDI QIDQ1019771

J. Martínez

Publication date: 28 May 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2008.08.039

zbMATH Keywords

convergenceerror estimatesintegral equationfixed pointnumerical examplesSchauder basisGlobal approximation of solutionsnonlinear high order initial value problems

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (20)

Numerical approaches for systems of Volterra-Fredholm integral equations ⋮ Set-valued Nonlinear Fredholm Integral Equations: Direct and Inverse Problem ⋮ Analysis of the error in a numerical method used to solve nonlinear mixed Fredholm-Volterra-Hammerstein integral equations ⋮ A sequential approach for solving the Fredholm integro-differential equation ⋮ Biorthogonal systems for solving Volterra integral equation systems of the second kind ⋮ Spectral method for solving high order nonlinear boundary value problems via operational matrices ⋮ A minimax approach for inverse variational inequalities ⋮ Nonlinear Volterra integral equation of the second kind and biorthogonal systems ⋮ Biorthogonal systems approximating the solution of the nonlinear Volterra integro-differential equation ⋮ Galerkin schemes and inverse boundary value problems in reflexive Banach spaces ⋮ About some numerical approaches for mixed integral equations ⋮ Fixed point techniques and Schauder bases to approximate the solution of the first order nonlinear mixed Fredholm-Volterra integro-differential equation ⋮ Galerkin method for constrained variational equations and a collage-based approach to related inverse problems ⋮ Analytical techniques for a numerical solution of the linear Volterra integral equation of the second kind ⋮ Solution of systems of integro-differential equations using numerical treatment of fixed point ⋮ A reliable analytical method for solving higher-order initial value problems ⋮ Numerical solution for an inverse variational problem ⋮ On bounded strictly positive operators of closed range and some applications to asymptotic hyperstability of dynamic systems ⋮ Numerical treatment of fixed point applied to the nonlinear Fredholm integral equation ⋮ Mixed variational formulations in locally convex spaces

Cites Work

• Linear Volterra integro-differential equation and Schauder bases
• Schauder bases in Banach spaces of continuous functions
• High order linear initial-value problems and Schauder bases
• Nonlinear initial-value problems and Schauder bases
• An Introduction to Banach Space Theory
• ISOMORPHISMS, SCHAUDER BASES IN BANACH SPACES, AND NUMERICAL SOLUTION OF INTEGRAL AND DIFFERENTIAL EQUATIONS
• Unnamed Item

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