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Subdomain Precise integration method and numerical solution of partial differential equations

Zhong Wanxie(Dalian University of Technology,Dalian,116023,P.R. China)  
For the semi-analytical method derived equations from the PDEs,the precise integrationmethod can find the highly precise solution,however,it is troublesome when the matrix sizebecomes larger,The usual finite difference method can be executed with a narrow band-width,but faces the problems of numerical stability and precision,Therefore the subdomainprecise integration method is proposed in this paper,it takes both the merits of numericalhigh precision in the subdomain and narrow bandwidth of the matrix. Numerical results showthe benefit of the present methodology.
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