FDM for elliptic equations with Bitsadze-Samarskii-Dirichlet conditions

DOI10.1155/2012/454831zbMath1261.65107OpenAlexW2002127826WikidataQ58695203 ScholiaQ58695203MaRDI QIDQ1925372

Allaberen Ashyralyev, Fatma Songul Ozesenli Tetikoglu

Publication date: 18 December 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/454831

zbMATH Keywords

stabilitynumerical examplesdifference schemeselliptic equationnonlocal boundary value problemBitsadze-Samarskii-Dirichlet condition

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (10)

On the solution of a nonlocal problem ⋮ Radial basis function method for a multidimensional linear elliptic equation with nonlocal boundary conditions ⋮ Radial basis function collocation method for an elliptic problem with nonlocal multipoint boundary condition ⋮ Numerical solution to Bitsadze-Samarskii type elliptic overdetermined multipoint NBVP ⋮ Variational statement and domain decomposition algorithms for Bitsadze-Samarskii nonlocal boundary value problem for Poisson's two-dimensional equation ⋮ On a difference scheme of second order of accuracy for the Bitsadze-Samarskii type nonlocal boundary-value problem ⋮ Approximate solution of inverse problem for elliptic equation with overdetermination ⋮ Solving parabolic integro-differential equations with purely nonlocal conditions by using the operational matrices of Bernstein polynomials ⋮ Approximation of the inverse elliptic problem with mixed boundary value conditions and overdetermination ⋮ Finite difference method for Bitsadze-Samarskii type overdetermined elliptic problem with Dirichlet conditions

Cites Work

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• A note on the Bitsadze-Samarskii type nonlocal boundary value problem in a Banach space
• Maximal B-regular integro-differential equation
• Multipoint problems for degenerate abstract differential equations
• Problem of Bitsadze-Samarskii type for second-order elliptic systems in the plane
• On a control problem governed by a linear partial differential equation with a smooth functional
• On approximation of inverse problems for abstract elliptic problems
• On Well-Posedness of the Nonlocal Boundary Value Problems for Elliptic Equations
• On Well-Posedness of Difference Schemes for Abstract Elliptic Problems in L^p([0, T;E) Spaces]

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