A new approach to the formation of systems of linear algebraic equations for solving ordinary differential equations by the collocation method

A new algorithm for the numerical solution of one-dimensional Cauchy problems and Poisson equations is implemented. The algorithm is based on the collocation method and representation of the solution as an expansion in Chebyshev polynomials. It is proposed instead of the usual approach, which consis...

Full description

Bibliographic Details
Main Authors: Sevastianov, Leonid A., Lovetskiy, Konstantin P., Kulyabov, Dmitry Sergeevich
Format: Article
Language:English
Published: Saratov State University 2023-03-01
Series:Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
Subjects:
Online Access:https://mmi.sgu.ru/sites/mmi.sgu.ru/files/text-pdf/2023/02/36-47-sevastyanov_et_al.pdf