On stability of a third order of accuracy difference scheme for hyperbolic nonlocal BVP with self-adjoint operator (Q2319313)

Summary: A third order of accuracy absolutely stable difference schemes is presented for nonlocal boundary value hyperbolic problem of the differential equations in a Hilbert space \(H\) with self-adjoint positive definite operator \(A\). Stability estimates for solution of the difference scheme are established. In practice, one-dimensional hyperbolic equation with nonlocal boundary conditions is considered.