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Regularized meshless method for nonhomogeneous problems. (English) Zbl 1259.65200

Summary: The regularized meshless method is a novel boundary-type meshless method but by now has largely been confined to homogeneous problems. In this paper, we apply the regularized meshless method to the nonhomogeneous problems in conjunction with the dual reciprocity technique in the evaluation of the particular solution. Numerical experiments of three benchmark nonhomogeneous problems demonstrate the accuracy and efficiency of the present strategy.

MSC:

65N99 Numerical methods for partial differential equations, boundary value problems

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