Orthogonal Spline Collocation Laplace-modified and Alternating-direction Methods for Parabolic Problems on Rectangles
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چکیده
A complete stability and convergence analysis is given for twoand three-level, piecewise Hermite bicubic orthogonal spline collocation, Laplacemodified and alternating-direction schemes for the approximate solution of linear parabolic problems on rectangles. It is shown that the schemes are unconditionally stable and of optimal-order accuracy in space and time.
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تاریخ انتشار 2010