Abstract
Meshfree particle methods such as MPS method and SPH method have been much developed in recent years and established as a powerful tool in the fields of science and engineering, since they require no troublesome mesh generation and have flexible adaptation to changing shape of domains. On the other hand, there are few mathematical error analysis on their accuracy as discretization methods for partial differential equations. In this paper, we investigate a mathematical analysis of the truncation error for a discrete gradient operator of meshfree particle methods with weight functions, particularly MPS method.
