Stable difference schemes for the hyperbolic problems subject to nonlocal boundary conditions with self-adjoint operator

DOI10.1016/J.AMC.2011.03.155zbMath1229.65147OpenAlexW1966820062MaRDI QIDQ648288

Allaberen Ashyralyev, Ozgur Yildirim

Publication date: 22 November 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.03.155

zbMATH Keywords

stabilitydifference schemehyperbolic equationnonlocal boundary value problems

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) 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)

Related Items (4)

Radial basis function collocation method for an elliptic problem with nonlocal multipoint boundary condition ⋮ A note on the second order of accuracy stable difference schemes for the nonlocal boundary value hyperbolic problem ⋮ Numerical algorithms for diffusion-reaction problems with non-classical conditions ⋮ A Unified Numerical Method for Solving System of Nonlinear Wave Equations

Cites Work

• A difference scheme for Cauchy problem for the hyperbolic equation with self-adjoint operator
• Nonlocal boundary-value problems for abstract parabolic equations: well-posedness in Bochner spaces
• Stability of a nonlocal two-dimensional finite-difference problem
• Two new approaches for construction of the high order of accuracy difference schemes for hyperbolic differential equations
• Some non-local problems for the parabolic-hyperbolic type equation with non-characteristic line of changing type
• Maximal regular boundary value problems in Banach-valued weighted space
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