Third (fourth) order accurate two-step super-stable cubic spline polynomial approximation for the second order non-linear initial-value problems

We report a new implicit cubic spline (CS) approximation for the initial-value problems w″ = f(t, w, w′), w(t 0 ) = a 0 , w′ (t 0 ) = a 1 , t 0

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Bibliographische Detailangaben
Veröffentlicht in:	Journal of mathematical chemistry 2023-11, Vol.61 (10), p.2123-2145
1. Verfasser:	Mohanty, R. K.
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation Boundary layers Chemistry Chemistry and Materials Science Math. Applications in Chemistry Mathematical analysis Original Paper Physical Chemistry Polynomials Theoretical and Computational Chemistry
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We report a new implicit cubic spline (CS) approximation for the initial-value problems w″ = f(t, w, w′), w(t 0 ) = a 0 , w′ (t 0 ) = a 1 , t 0
ISSN:	0259-9791 1572-8897
DOI:	10.1007/s10910-023-01509-0