Abstract
In this paper, a local meshless method is presented, and this method is based on the linear combination of moving least squares and local radial basis functions in the same compact support domain, by changing the coefficient of the linear combination, the new method possesses the properties of moving least squares approximation and local radial basis functions, because of the local property of this method, it gives us the convenience of computing and it is suitable for practical problems. Numerical experiments are given to demonstrate the accuracy, effectiveness and feasibility of this method.
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