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A barycentric rational collocation method for higher-order equations related to time

Guardado en:
Udgivet i:Journal of Physics: Conference Series vol. 2964, no. 1 (Feb 2025), p. 012055
Hovedforfatter: Qu, Xinying
Andre forfattere: Lin, Jiawei
Udgivet:
IOP Publishing
Fag:
Runge-Kutta method
Rational functions
Collocation methods
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Resumen:In this article, higher-order equations related to time are solved using the barycentric rational collocation method, which aims to approximate the unknown function through a rational function. The equations are solved by using the direct solution, depression of order, and spatial using the barycentric rational collocation method, and then solved by the Runge-Kutta method in three ways. The final example verifies the validity.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/2964/1/012055
Fuente:Advanced Technologies & Aerospace Database