A fourth-order alternating-direction method for difference schemes with nonlocal condition

DOI10.1007/S10986-009-9057-5zbMath1180.35205OpenAlexW2090668130MaRDI QIDQ1033575

Olga Štikonienẹ, Mifodijus Sapagovas

Publication date: 6 November 2009

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-009-9057-5

zbMATH Keywords

finite-difference methodalternating-direction methodconvergence of iterative methodelliptic equation with nonlocal integral conditionsstructure of the spectrum

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 (9)

Radial basis function method for a multidimensional linear elliptic equation with nonlocal boundary conditions ⋮ On a numerical solution of one nonlocal boundary-value problem with mixed Dirichlet-Neumann conditions ⋮ On the convergence of difference schemes for one nonlocal boundary-value problem ⋮ ALTERNATING DIRECTION IMPLICIT METHOD FOR POISSON EQUATION WITH INTEGRAL CONDITIONS ⋮ Numerical spectral analysis of a difference operator with non-local boundary conditions ⋮ Alternating direction method for the Poisson equation with variable weight coefficients in an integral condition ⋮ Application of M-matrices theory to numerical investigation of a nonlinear elliptic equation with an integral condition ⋮ Alternating direction method for the wave equation with integral boundary conditions ⋮ Finite difference method for boundary value problem for nonlinear elliptic equation with nonlocal conditions

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