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...

Szczegółowa specyfikacja

Opis bibliograficzny

Główni autorzy:	Sevastianov, Leonid A., Lovetskiy, Konstantin P., Kulyabov, Dmitry Sergeevich
Format:	Artigo
Język:	Inglês
Wydane:	Saratov State University 2023-03-01
Seria:	Известия Саратовского университета. Новая серия: Математика. Механика. Информатика
Hasła przedmiotowe:	initial boundary value problems collocation method chebyshev polynomials gauss – lobatto sets numerical stability discrete orthogonality
Dostęp online:	https://mmi.sgu.ru/sites/mmi.sgu.ru/files/text-pdf/2023/02/36-47-sevastyanov_et_al.pdf
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