INTEGRAL_EQUATION

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Investigation on nonlinear multi-scale effects of unsteady flow in hydraulic fractured horizontal shale gas wells被引量：2
《Applied Mathematics and Mechanics(English Edition)》2018年第2期181-192,共12页Jiaxuan LIU Xinchun SHANG Weiyao ZHU 
supported by the National Basic Research Program of China(973 Program)(No.2013CB228002)
A unified mathematical model is established to simulate the nonlinear unsteady percolation of shale gas with the consideration of the nonlinear multi-scale effects such as slippage, diffusion, and desorption. The cont...
关键词：shale gas nonlinear effect multi-scale percolation inhomogeneous perme ability integral equation 
Backward Doubly Stochastic Differential Equations with Jumps and Stochastic Partial Differential-Integral Equations被引量：5
《Chinese Annals of Mathematics,Series B》2012年第1期127-142,共16页Qingfeng ZHU Yufeng SHI 
supported by the National Natural Science Foundation of China (Nos. 10771122,11071145);the Shandong Provincial Natural Science Foundation of China (No. Y2006A08);the Foundation for Innovative Research Groups of National Natural Science Foundation of China (No. 10921101);the National Basic Research Program of China (the 973 Program) (No. 2007CB814900);the Independent Innovation Foundation of Shandong University (No. 2010JQ010)
Backward doubly stochastic differential equations driven by Brownian motions and Poisson process （BDSDEP） with non-Lipschitz coefficients on random time interval are studied. The probabilistic interpretation for the...
关键词：Backward doubly stochastic differential equations Stochastic partialdifferential-integral equations Random measure Poisson process 
Milling stability analysis using the spectral method被引量：11
《Science China(Technological Sciences)》2011年第12期3130-3136,共7页DING Ye ZHU LiMin ZHANG XiaoJian DING Han 
supported by the National Key Basic Research Program (Grant No. 2011CB706804);the Science & Technology Commission of Shanghai Municipality (Grant Nos. 09QH1401500 and 10JC1408000)
This paper focuses on the development of an efficient semi-analytical solution of chatter stability in milling based on the spectral method for integral equations. The time-periodic dynamics of the milling process tak...
关键词：milling stability delayed differential equation integral equation spectral method Floquet theory 
Iterative convergence of boundary-volume integral equation method
《Earthquake Science》2011年第5期391-400,共10页Gengxin Yu Liyun Fu 
supported by the National Natural Science Foundation of China(Nos. 41130418 and 40925013);the National Basic Research Program(973 Program)(No.2009CB219403)
The boundary-volume integral equation numerical technique can be a powerful tool for piecewise heterogeneous media, but it is limited to small problems or low frequencies because of great computational cost. Therefore...
关键词：boundary-volume integral equation generalized Lipmann-Schwinger integral equation GMRES method diagonal preconditioner 
NON-SYMMETRICAL BENDING PROBLEMS OF INFINITE ANNULAR PLATES SUPPORTED ON INNER EDGE
《固体力学学报》2008年第S1期190-195,共6页Zhengzhu Dong Weihong Peng Shuncai Li 
Project supported by the National Basic Research Program of China (No. 2007CB209400);the National Nature Fond (No. 50774077 and 50774081);the National Fond of Author of Doctor Thesis (100760)
For non-asymmetrical bending problems of elastic annular plates, the exact solutions are not fond. To bending problems of infinite annular plate with two different boundary conditions, based on the boundary integral f...
关键词：non-asymmetrical bending problems of annular plate biharmonic equation boundary integral formula natural boundary integral equation Fourier series 
ANALYSIS ON THE COHESIVE STRESS AT HALF INFINITE CRACK TIP
《Applied Mathematics and Mechanics(English Edition)》2003年第8期917-927,共11页王利民 徐世烺 
Foundation items: the National Key Basic Research and Development Program (973 Program)(2002CB412709); the National Natural Science Foundation of China (10272068, 50178015); Science Foundation of Shandong Province of China (Y202A02)
The nonlinear fracture behavior of quasi-brittle materials is closely related with the cohesive force distribution of fracture process zone at crack tip. Based on fracture character of quasi-brittle materials, a mecha...
关键词：quasi-brittle material crack cohesive force integral equation method of least squares integral transformation method algebra equation 
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