On the stability of a weighted finite difference scheme for wave equation with nonlocal boundary conditions

DOI10.15388/NA.2014.3.10zbMath1314.65117OpenAlexW2964865700MaRDI QIDQ4982487

Jurij Novickij, Artūras Štikonas

Publication date: 9 April 2015

Published in: Nonlinear Analysis: Modelling and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15388/na.2014.3.10

zbMATH Keywords

stabilitywave equationhyperbolic equationintegral conditionsspectrum analysisweighted difference scheme

Mathematics Subject Classification ID

Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

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On stability in the maximum norm of difference scheme for nonlinear parabolic equation with nonlocal condition ⋮ On the equivalence of discrete Sturm–Liouville problem with nonlocal boundary conditions to the algebraic eigenvalue problem ⋮ NONLINEAR ELLIPTIC EQUATION WITH NONLOCAL INTEGRAL BOUNDARY CONDITION DEPENDING ON TWO PARAMETERS ⋮ On the Stability of a Weighted Finite Difference Scheme for Hyperbolic Equation with Integral Boundary Conditions ⋮ Absolute stability of a difference scheme for the multidimensional time-dependently identification telegraph problem ⋮ On the absolute stable difference scheme for the space‐wise dependent source identification problem for elliptic‐telegraph equation ⋮ ON THE SPECTRUM STRUCTURE FOR ONE DIFFERENCE EIGENVALUE PROBLEM WITH NONLOCAL BOUNDARY CONDITIONS ⋮ Application of M-matrices theory to numerical investigation of a nonlinear elliptic equation with an integral condition ⋮ Spectrum curves for a discrete Sturm–Liouville problem with one integral boundary condition ⋮ Unnamed Item ⋮ Alternating direction method for the wave equation with integral boundary conditions ⋮ SPECTRUM CURVES FOR STURM–LIOUVILLE PROBLEM WITH INTEGRAL BOUNDARY CONDITION

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