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FDM for the integral-differential equation of the hyperbolic type

Zilal DirekDepartment of Mathematics and Computer Sciences, Bahcesehir University, Besiktas, Istanbul, 34353, TurkeyMaksat AshyraliyevDepartment of Mathematics and Computer Sciences, Bahcesehir University, Besiktas, Istanbul, 34353, Turkey
2014en
ABI

Abstract

In this paper, the second order of accuracy difference scheme approximately solving the initial value problem for an integral-differential equation of the hyperbolic type in a Hilbert space H is presented. The stability estimates for the solution of this difference scheme are obtained. Theoretical results are supported by numerical examples.

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