Application of Chebyshev series for the integration of ordinary differential equations

zbMath1327.65130MaRDI QIDQ892023

O. B. Arushanyan, N. I. Volchenskova, S. F. Zaletkin

Publication date: 18 November 2015

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: http://semr.math.nsc.ru/v11/p517-531.pdf

zbMATH Keywords

numerical methodsordinary differential equationsshifted Chebyshev seriesMarkov's quadrature formulas

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (5)

On representation of a solution to the Cauchy problem by a Fourier series in Sobolev-orthogonal polynomials generated by Laguerre polynomials ⋮ Sobolev-orthogonal systems of functions associated with an orthogonal system ⋮ Sobolev orthogonal polynomials associated with Chebyshev polynomials of the first kind and the Cauchy problem for ordinary differential equations ⋮ Sobolev-orthogonal systems of functions and the Cauchy problem for ODEs ⋮ Application of Chebyshev series to integration of ordinary differential equations with rapidly growing solutions

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