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In this paper, by using the technique of B-net method and the minimal determining set, the dimension of the space of bivariate C1 cubic spline functions on a kind of refined triangulation, called Wang's refinement, is determined, and a set of dual basis with local support is given.
In this paper, by employing bivariate cubic C-1 B-splines, a bivariate B-spline finite element method is presented to solve bending problems of rectangular plates. In comparison with analytical solutions, it is found that, for various boundary conditions and different loading conditions, the accuracy of the present numerical method is very satisfactory.
In this paper, a numerical method based on non-polynomial spline functions is presented to solve the one-dimensional heat equation. The new method is unconditionally stable. The accuracy order of the new method is of O(k5+h4),where k and h denote the mesh parameters for t and x, respectively. The accuracy of the present method is much higher than previous known methods.
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