A Parallel Algorithm for Solving Systems of Volterra Integral Equations of the Second Kind-Reference-Cited by-同舟云学术

A Parallel Algorithm for Solving Systems of Volterra Integral Equations of the Second Kind

Published:2023-12-10 Issue:6 Volume:45 Page:3-14
ISSN:0204-3572
Container-title:Èlektronnoe modelirovanie
language:
Short-container-title:Èlektron. model.

Author:

Tykhokhod V.O.,Fedorchuk V.A.

Abstract

The problem of increasing the effectiveness of the study of integral models of dynamic systems is considered. A parallel algorithm for solving a system of Volterra linear integral equations of the second kind based on the quadrature method of numerical integration is proposed. The algo-rithm was implemented in the MATLAB computer mathematics system in the form of an m-function. The program uses the MATLAB Distributed Computing Toolbox infrastructure to manage workflows and distribute computations between them on multi-core processors. Com-putational experiments were conducted on a model example using the Symbolic Math Toolbox package for symbolic calculations and a comparison of the execution of parallel calculations with the execution time of the implementation of a sequential algorithm. The results showed a significant increase in the speed of research of integral models on multi-core processors when using the proposed algorithm and its computer implementation.

Publisher

National Academy of Sciences of Ukraine (Co. LTD Ukrinformnauka) (Publications)

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