Locally one-dimensional difference schemes for parabolic equations in media possessing memory

DOI10.1134/S096554251809004XzbMath1448.35324OpenAlexW2897679613MaRDI QIDQ1757638

M. Kh. Shkhanukov-Lafishev, Z. V. Beshtokova, M. M. Lafisheva

Publication date: 15 January 2019

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s096554251809004x

zbMATH Keywords

stabilityboundary value problema priori estimateapproximation errornonlocal sourceconvergence of the schemelocally one-dimensional difference schemes

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) A priori estimates in context of PDEs (35B45) Finite difference methods for boundary value problems involving PDEs (65N06) Parabolic equations and parabolic systems (35K99)

Related Items (1)

A Locally One-Dimensional Difference Scheme for a Multidimensional Integro-Differential Equation of Parabolic Type of General Form

Cites Work

• Unnamed Item
• On a nonlocal boundary value problem with variable coefficients for the heat equation and the Aller equation
• Locally one-dimensional scheme for a loaded heat equation with Robin boundary conditions
• On the convergence of difference schemes approximating the second and third boundary value problems for elliptic equations

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