The precise integration method for semi-discretized equation in the dual reciprocity method to solve three-dimensional transient heat conduction problems

2018 ◽  
Vol 95 ◽  
pp. 160-166 ◽  
Author(s):  
Fenglin Zhou ◽  
Yulong You ◽  
Guang Li ◽  
Guizhong Xie ◽  
Guang Li
2013 ◽  
Vol 2013 ◽  
pp. 1-9
Author(s):  
Hai-Jun Peng ◽  
Sheng Zhang ◽  
Zhi-Gang Wu ◽  
Biao-Song Chen

The key of solving the noncooperative linear quadratic (LQ) differential game is to solve the coupled matrix Riccati differential equation. The precise integration method based on the adaptive choosing of the two parameters is expanded from the traditional symmetric Riccati differential equation to the coupled asymmetric Riccati differential equation in this paper. The proposed expanded precise integration method can overcome the difficulty of the singularity point and the ill-conditioned matrix in the solving of coupled asymmetric Riccati differential equation. The numerical examples show that the expanded precise integration method gives more stable and accurate numerical results than the “direct integration method” and the “linear transformation method”.


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