Implementation of Shishkin mesh in the modelling of spring-mass system

Mujaković, Nermina; Dražić, Ivan; Barišić, Branimir

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Implementation of Shishkin mesh in the modelling of spring-mass system

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2010Journal:Sborník vědeckých prací Vysoké školy báňské-Technické univerzity Ostrava. Řada strojní (1992), volume LVI, pages 49-52 (issn: 1210-0471,

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Authors: Mujaković, Nermina; Dražić, Ivan; Barišić, Branimir;

Implementation of Shishkin mesh in the modelling of spring-mass system

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Abstract

In this article we analyze the model of spring-mass system with very large damping or very small mass as well as its numerical solution. In the first part of the work we derive the model with initial conditions and discuss the behavior of the exact solution. In the next part we analyze the numerical solution using the finite difference method and in the last part of the work we implement the Shishkin mesh in the numerical scheme and comment the error of approximation.

Keywords

Spring-mass system, Shishkin mesh

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