Volume 13, Issue 1
Convergence Analyses of Crank-Nicolson Orthogonal Spline Collocation Methods for Linear Parabolic Problems in two Space Variables

M. Khebchareon ,  A. K. Pani and G. Fairweather

Int. J. Numer. Anal. Mod., 13 (2016), pp. 58-72

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  • Abstract

The Crank-Nicolson (CN) orthogonal spline collocation method and its alternating direction implicit (ADI) counterpart are considered for the approximate solution of a class of linear parabolic problems in two space variables. It is proved that both methods are second order accurate in time and of optimal order in certain H^j norms in space. Also, L^∞ estimates in space are derived.

  • History

Published online: 2016-01

  • AMS Subject Headings

65M15, 65M70

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