TY  - EJOU
AU  - Gao, Hongfen 
AU  - Wei, Gaofeng 

TI  - A Novel Meshfree Analysis of Transient Heat Conduction Problems Using RRKPM
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2022
VL  - 131
IS  - 3
SN  - 1526-1506

AB  - By introducing the radial basis functions (RBFs) into the reproducing kernel particle method (RKPM), the calculating accuracy and stability of the RKPM can be improved, and a novel meshfree method of the radial basis RKPM (meshfree RRKPM) is proposed. Meanwhile, the meshfree RRKPM is applied to transient heat conduction problems (THCP), and the corresponding equations of the meshfree RRKPM for the THCP are derived. The two-point time difference scheme is selected to discretize the time of the THCP. Finally, the numerical results illustrate the effectiveness of the meshfree RRKPM for the THCP.
KW  - Transient heat conduction; meshfree method; reproducing kernel particle method; meshfree RRKPM; two-point difference method

DO  - 10.32604/cmes.2022.019687