In this paper, a novel space-time generalized finite difference method (GFDM) is proposed for solving transient heat conduction problems by integrating a direct space-time discretization technique into the meshless GFDM. The spatial and temporal dimensions are simultaneously discretized by randomly distributed nodes in the coupled space-time continuum. Transient heat conduction in homogenous and heterogeneous materials are analyzed by this novel meshless space-time GFDM. Examples involving multidimensional spatiotemporal domains and various complex boundary conditions are studied and discussed. The high accuracy and efficiency of this new algorithm are verified by comparing with analytical and other numerical results.

本文提出了一种新颖的时空广义有限差分方法（GFDM），该方法通过将直接时空离散化技术集成到无网格GFDM中来解决瞬态热传导问题。空间和时间维度同时由耦合的时空连续体中的随机分布的节点离散化。通过这种新颖的无网格时空GFDM分析了均质和非均质材料中的瞬态热传导。研究和讨论了涉及多维时空域和各种复杂边界条件的示例。通过与分析和其他数值结果进行比较，证明了该新算法的高精度和高效率。