On a difference scheme of the second order of accuracy for elliptic-parabolic equations

DOI10.1186/1687-2770-2012-80zbMath1280.65115OpenAlexW2111621126WikidataQ59289000 ScholiaQ59289000MaRDI QIDQ377679

Okan Gercek, Allaberen Ashyralyev

Publication date: 7 November 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-80

zbMATH Keywords

numerical exampleswell-posednesserror bounddifference schemeCrank-Nicolson methodelliptic-parabolic equationmixed type equationmultipoint nonlocal boundary value problem

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite difference methods for boundary value problems involving PDEs (65N06) Boundary value problems for PDEs of mixed type (35M12)

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Cites Work

• Numerical algorithms for diffusion-reaction problems with non-classical conditions
• Finite-difference methods for solution of nonlocal boundary value problems
• On a nonlocal generalization of the biharmonic Dirichlet problem
• An elliptic-parabolic equation with a nonlocal term for the transient regime of a plasma in a stellarator.
• Stability of a nonlocal two-dimensional finite-difference problem
• On the numerical solution of the heat conduction equations subject to nonlocal conditions
• Some non-local problems for the parabolic-hyperbolic type equation with non-characteristic line of changing type
• Time-nonlocal problems for Schrödinger type equations. I: Problems in abstract spaces

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