A collocation method to compute one-dimensional flow models in intake and exhaust systems of internal combustion engines

In this paper, an analytical approximate solution of Euler equations is obtained by a collocation method. The collocation method uses two variables Chebyshev polynomial basis and collocation coefficients are obtained solving polynomial equations by means of homotopy methods.

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Bibliographische Detailangaben
Veröffentlicht in:	Mathematical and computer modelling 2004-11, Vol.40 (9), p.995-1008
Hauptverfasser:	Arnau, J.M., Company, R., Roselló, M.D., Climent, H.
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary condition Chebyshev collocation Euler equations Exact sciences and technology Homotopy continuation Mathematical analysis Mathematics Methods of scientific computing (including symbolic computation, algebraic computation) Numerical analysis. Scientific computation Partial differential equations Sciences and techniques of general use
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	In this paper, an analytical approximate solution of Euler equations is obtained by a collocation method. The collocation method uses two variables Chebyshev polynomial basis and collocation coefficients are obtained solving polynomial equations by means of homotopy methods.
ISSN:	0895-7177 1872-9479
DOI:	10.1016/j.mcm.2004.03.003