Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state

Bulletin of the Yakovlev Chuvash State Pedagogical University. Series: Mechanics of Limit State


ISSN: 2073-5499    

Index catalog Press of Russia: 13109    

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Metadata (abstracts and keywords) for the articles in the journal

V. I. Prokopiev, P. E. Sturnik Evaluation of the accuracy of solving the boundary value problem for the differential equation of the beam deflection by the method of finite differences // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2021. № 4(50). p. 53-58
Author(s):V. I. Prokopiev, P. E. Sturnik
Index of UDK:517;539.3
DOI:10.37972/chgpu.2021.50.4.009
Title:Evaluation of the accuracy of solving the boundary value problem for the differential equation of the beam deflection by the method of finite differences
Keywords:

finite difference method, error, boundary value problem, conditionality, system of linear algebraic equations, matrix.

Abstracts:

The finite difference method (MD) is one of the simplest and most widely used approximate calculation methods. The error of the numerical solution depends on the number of partitions in the calculation scheme. The influence of the number of partitions on the error of the numerical solution is investigated by the example of a boundary value problem for the differential equation of deflection of a Bernoulli beam under the action of a static load.

The contact details of authors:

Prokopiev Valery Ivanovich, Professor, Candidate of Technical Sciences, Moscow State University of Civil Engineers, Moscow, Russia.

Sturnick Pavel Eduardovich, undergraduate student, Moscow State University of Civil Engineers, Moscow, Russia.

Pages:53-58
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