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Mathematical base of difference operators in Moving Particle Semi-implicitmethod (MPS) are not given sufficiently in contrast to Smooth ParticleHydrodynamics method (SPH). Iribe and Nakaza proposed a method to improve theaccuracy of the gradient operator, and Khayyer and Gotoh gave an ingenuity alsofor gradient operator too. An extension to higher order difference operators ofIribe-Nakaza method is given in this paper. The proposed method is a specialcase of the author's method called Discrete Differential Operators on IrregularNodes (DDIN).

Mathematical base of Difference Operator of Particle Method