High-accuracy Stable Difference Schemes for Well-posed NBVP

DOI10.1007/978-3-7643-9921-4_14zbMath1179.65056OpenAlexW190509277MaRDI QIDQ3652987

Allaberen Ashyralyev

Publication date: 18 December 2009

Published in: Modern Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-7643-9921-4_14

zbMATH Keywords

stabilitywell-posednessparabolic equationBanach spacenonlocal boundary value problemabstract parabolic equationstrongly positive operatorcoercive inequalitieshigh order of accuracyPadé difference schemes

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) One-parameter semigroups and linear evolution equations (47D06) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Linear differential equations in abstract spaces (34G10) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solutions to abstract evolution equations (65J08)

Related Items (4)

Finite difference method for multipoint nonlocal elliptic-parabolic problems ⋮ Approximate solutions of delay parabolic equations with the Dirichlet condition ⋮ The difference problem of obtaining the parameter of a parabolic equation ⋮ On second order of accuracy difference scheme of the approximate solution of nonlocal elliptic-parabolic problems

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