On a Finite-Difference Scheme for an Hereditary Oscillatory Equation
نویسندگان
چکیده
In this paper we suggest an explicit finite-difference scheme for numerical simulation of the Cauchy problem with integro-differential nonlinear equation that describes oscillatory process friction and memory (hereditarity), corresponding local initial conditions. The problems approximation, stability, convergence proposed are investigated. results computer experiments implement scheme, confirming theoretical estimates obtained in theorems, given.
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ژورنال
عنوان ژورنال: Journal of Mathematical Sciences
سال: 2021
ISSN: ['1072-3374', '1573-8795']
DOI: https://doi.org/10.1007/s10958-021-05252-2