Finite-difference method for the hyperbolic system of equations with nonlocal boundary conditions

作者：Ashyralyev Allaberen^*; Prenov Rahat

来源：Advances in Difference Equations, 2014, 2014(1): 26.

DOI：10.1186/1687-1847-2014-26

• hyperbolic system of equations
• nonlocal boundary value problems
• difference schemes
• interpolation spaces
• positivity of the difference operator
• stability estimates

In the present paper, the finite-difference method for the initial-boundary value problem for a hyperbolic system of equations with nonlocal boundary conditions is studied. The positivity of the difference analogy of the space operator generated by this problem in the space C with maximum norm is established. The structure of the interpolation spaces generated by this difference operator is investigated. The positivity of this difference operator in Holder spaces is established. In applications, stability estimates for the solution of the difference scheme for a hyperbolic system of equations with nonlocal boundary conditions are obtained. A numerical example is applied.

• 出版日期2014-1-20