In this paper, to improve the computational speed of the reproducing kernel particle method (RKPM), the dimension splitting reproducing kernel particle method (DSRKPM) is presented for solving three-dimensional (3D) transient heat conduction problems. The idea of the proposed method is transforming the 3D problem into a series of two-dimensional (2D) ones by using the finite difference method in the splitting direction. Since the shape function of the RKPM for 2D problem is much simpler than the one of 3D problem, the DSRKPM has higher computational speed than the RKPM. To demonstrate the applicability of the proposed method, four example problems are presented, and each of them is solved by the DSRKPM and the RKPM, respectively. And the numerical solutions show that the DSRKPM not only greatly improves the computational efficiency, but also has a higher computational accuracy.

为了提高再生核粒子法（RKPM）的计算速度，提出了维数分解再生核粒子法（DSRKPM）来解决三维（3D）瞬态热传导问题。所提出的方法的思想是通过在分裂方向上使用有限差分方法将3D问题转换为一系列二维（2D）问题。由于RKPM用于2D问题的形状函数比3D问题之一简单得多，因此DSRKPM的计算速度比RKPM高。为了证明该方法的适用性，提出了四个示例问题，分别由DSRKPM和RKPM解决。数值解表明，DSRKPM不仅大大提高了计算效率，