ON UNIFORM DIFFERENCE SCHEMES AND ASYMPTOTIC FORMULAS FOR THE SOLUTION OF HYPERBOLIC NONLOCAL BOUNDARY VALUE PERTURBATION PROBLEMS

Ashyralyev A. Yildirim O.
2026 Springer

Journal of Mathematical Sciences (United States)
2026

The abstract nonlocal boundary value problem (Formula presented.) for hyperbolic equations in a Hilbert space H, where A is a self-adjoint positive definite operator and ε∈0,∞ is a parameter multiplying the highest-order derivative term, is considered. An asymptotic formula for the solution of this problem with a small ε parameter is established. The high order of accuracy two-step uniform difference scheme for the solution of this problem is presented. The convergence estimates for the solution of the difference scheme are obtained.

Asymptotic formula , Hyperbolic equations , Nonlocal boundary value problem , Uniform difference schemes

Text of the article Перейти на текст статьи

Department of Mathematics, Bahcesehir University, Istanbul, Turkey
Department of Mathematics, Yildiz Technical University, Istanbul, Turkey
Department of Mathematics, RUDN University, Moscow, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

Department of Mathematics
Department of Mathematics
Department of Mathematics
Institute of Mathematics and Mathematical Modeling

10 лет помогаем публиковать статьи Международный издатель

Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026