High order of accuracy difference schemes for the inverse elliptic problem with Dirichlet condition

DOI10.1186/1687-2770-2014-5zbMath1305.65221OpenAlexW2103774639WikidataQ59319596 ScholiaQ59319596MaRDI QIDQ467853

Charyyar Ashyralyyev

Publication date: 5 November 2014

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

Full work available at URL: https://doi.org/10.1186/1687-2770-2014-5

zbMATH Keywords

stabilitynumerical examplewell-posednessdifference schemehigh-order accuracyalmost coercive stabilitycoercive stabilityinverse elliptic problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (9)

A fourth-order compact difference scheme for the parabolic inverse problem with an overspecification at a point ⋮ Highly accurate difference schemes for time‐nonlocal Schrodinger type problems ⋮ Identification problem for telegraph-parabolic equations ⋮ Source identification problems for hyperbolic differential and difference equations ⋮ A fourth order approximation of the Neumann type overdetermined elliptic problem ⋮ Approximation of the inverse elliptic problem with mixed boundary value conditions and overdetermination ⋮ A Unified Numerical Method for Solving System of Nonlinear Wave Equations ⋮ A Space-Dependent Source Identification Problem for Hyperbolic-Parabolic Equations ⋮ Finite difference method for Bitsadze-Samarskii type overdetermined elliptic problem with Dirichlet conditions

Cites Work

• Finite difference method for the reverse parabolic problem
• The difference problem of obtaining the parameter of a parabolic equation
• Determination of \(\text{GL}(3)\) cusp forms by central values of \(\text{GL}(3)\times \text{GL}(2)\, L\)-functions, level aspect
• Inverse Dirichlet problem for an equation of elliptic type
• New difference schemes for partial differential equations.
• Approximate solution of inverse problem for elliptic equation with overdetermination
• On Bitsadze-Samarskii type nonlocal boundary value problems for elliptic differential and difference equations: well-posedness
• Numerical methods for solving inverse problems of mathematical physics.
• Linear and quasilinear elliptic equations
• On approximation of inverse problems for abstract elliptic problems
• On a difference scheme of fourth order of accuracy for the Bitsadze–Samarskii type nonlocal boundary value problem
• On approximation of inverse problem for abstract parabolic differential equations in Banach spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: High order of accuracy difference schemes for the inverse elliptic problem with Dirichlet condition