One projection method for linear third order equation

DOI10.3103/S1066369X14110036zbMath1315.65069OpenAlexW2023538884MaRDI QIDQ2262939

T. E. Koroleva, P. V. Vinogradova

Publication date: 17 March 2015

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x14110036

zbMATH Keywords

Galerkin methodHilbert spaceboundary value problemconvergence rateoperator-differential equationeigenfunction expansionthird-order linear differential equationsimilar operator

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear differential equations in abstract spaces (34G10)

Cites Work

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• Boundary-value problems for a class of operator differential equations of higher order with variable coefficients
• On the boundary-value problem for a class of operator-differential equations of third order
• On the solvability of initial boundary-value problems for a class of operator-differential equations of third order
• Convergence Rate of Galerkin Method for a Certain Class of Nonlinear Operator-Differential Equations
• Projection Method for Cauchy Problem for an Operator-Differential Equation
• Error estimates for the Galerkin method as applied to time-dependent equations

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