On a difference scheme of fourth order of accuracy for the Bitsadze–Samarskii type nonlocal boundary value problem

DOI10.1002/mma.2650zbMath1282.65088OpenAlexW2138230644MaRDI QIDQ4921731

Allaberen Ashyralyev, Elif Ozturk

Publication date: 13 May 2013

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2650

zbMATH Keywords

stabilitynumerical examplewell-posednessdifference schememultipoint boundary value problemelliptic equationBitsadze-Samarskii nonlocal boundary value problemdifferential equations in Hilbert spaces

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear differential equations in abstract spaces (34G10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items

On the numerical solution of a multilevel nonlocal problem ⋮ A fourth-order accurate difference Dirichlet problem for the approximate solution of Laplace's equation with integral boundary condition ⋮ Numerical solution to Bitsadze-Samarskii type elliptic overdetermined multipoint NBVP ⋮ Difference method of fourth order accuracy for the Laplace equation with multilevel nonlocal conditions ⋮ ALTERNATING DIRECTION IMPLICIT METHOD FOR POISSON EQUATION WITH INTEGRAL CONDITIONS ⋮ On a difference scheme of second order of accuracy for the Bitsadze-Samarskii type nonlocal boundary-value problem ⋮ High order of accuracy difference schemes for the inverse elliptic problem with Dirichlet condition ⋮ A fourth order approximation of the Neumann type overdetermined elliptic problem

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