“…Currently, numerical methods for solving transient heat conduction equations are broadly classified into two categories: mesh-based methods, including finite difference method (FDM) [1,2], finite element method (FEM) [3,4], Finite Volume Method [5,6], and Boundary Element Method (BEM) [7]; and meshless methods, such as the generalized finite difference method [8,9], smoothed particle hydrodynamics method (SPH) [10], meshless local Petrov-Galerkin method (MLPG) [11][12][13][14], meshless local radial basis function-based differential quadrature (RBF-DQ) [15], peridynamics (PD) [16,17], and peridynamic differential operator (PDDO) [18,19]. Based on time discretization, these methods can be divided into explicit and implicit schemes.…”