Accuracy improvement of collocation method by using the over-range collocation points for 2-D and 3-D problems
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چکیده
منابع مشابه
SPLINE COLLOCATION METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS
The spline collocation method is used to approximate solutions of boundary value problems. The convergence analysis is given and the method is shown to have second-order convergence. A numerical illustration is given to show the pertinent features of the technique.
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Fourth Order Accuracy for a Cubic Spline Collocation Method
This note is inspired by the paper of Bialecki, Fairweather, and Bennett [1] which studies a method for the numerical solution of u00 = f on an interval, and u = f on a rectangle, with zero boundary data; their scheme calculates that C piecewise cubic U for which U 00 (or U) agrees with f at the two (or four) Gauss quadrature points of each subdivision of the original domain. They observe that ...
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ژورنال
عنوان ژورنال: Mechanical Engineering Journal
سال: 2014
ISSN: 2187-9745
DOI: 10.1299/mej.2014cm0008