Sharp error bounds for the Crank-Nicolson and Saulyev difference scheme in connection with an initial boundary value problem for the inhomogeneous heat equation

For an initial boundary value problem of the inhomogeneous heat equation, the present paper studies the sharpness of error bounds, obtained for approximate solutions via the Crank-Nicolson and Saulyev difference scheme, respectively. Whereas the direct estimates in terms of partial moduli of continu...

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Veröffentlicht in:	Computers & mathematics with applications (1987) Jg. 30; H. 3; S. 59 - 68
Hauptverfasser:	Esser, H., Goebbels, St.J., Lüttgens, G., Nessel, R.J.
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Elsevier Ltd 01.09.1995
Schlagworte:	Finite difference methods Heat equation Rate of convergence Heat equation Rate of convergence Finite difference methods
ISSN:	0898-1221, 1873-7668
Online-Zugang:	Volltext
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