On convergence of difference schemes for delay parabolic equations

DOI10.1016/j.camwa.2013.07.018zbMath1350.65096OpenAlexW2082080832MaRDI QIDQ316197

Allaberen Ashyralyev, Deniz Agirseven

Publication date: 26 September 2016

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2013.07.018

zbMATH Keywords

convergencenumerical exampledifference schemesBanach spaceinitial boundary value problemdelay parabolic equationsunbounded linear operators

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Partial functional-differential equations (35R10) 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)

Related Items (13)

Numerical Methods for Semilinear Fractional Diffusion Equations with Time Delay ⋮ An accurate Chebyshev pseudospectral scheme for multi-dimensional parabolic problems with time delays ⋮ Almost periodic solutions of partial differential equations with delay ⋮ Convergence and asymptotic stability of Galerkin methods for linear parabolic equations with delays ⋮ On the stable difference schemes for the Schrödinger equation with time delay ⋮ Difference Schemes for Delay Parabolic Equations with Periodic Boundary Conditions ⋮ Well-posedness of delay parabolic equations with unbounded operators acting on delay terms ⋮ A finite difference scheme for semilinear space-fractional diffusion equations with time delay ⋮ Bounded solutions of delay nonlinear evolutionary equations ⋮ Well-posedness of delay parabolic difference equations ⋮ D-convergence and conditional GDN-stability of exponential Runge-Kutta methods for semilinear delay differential equations ⋮ On the Stability of Schrödinger Type Involutory Differential Equations ⋮ On the stability of the Schrödinger equation with time delay

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