Five-point positive meshless scheme for hyperbolic conservation laws

We consider a five-point positive meshless collocation method for the numerical solutions of transport process described by hyperbolic conservation laws. This positive meshless method uses the five-point scheme approximation for derivatives, and an artificial dissipation term to ensure the positivity of coefficients. The numerical examples confirm the good performance of the present five-point positive meshless scheme. Copyright © 2009 John Wiley & Sons, Ltd.

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Original source : http://dx.doi.org/10.1002%2Fcnm.1327...