Identifying the temperature distribution in a parabolic equation with overspecified data using a multiquadric quasi-interpolation method  

作　　者：马利敏 吴宗敏 

机构地区：[1]Shanghai Key Laboratory for Contemporary Applied Mathematics,School of Mathematical Sciences,Fudan University

出　　处：《Chinese Physics B》2010年第1期1-6,共6页中国物理B（英文版）

基　　金：Project supported by the National Key Basic Research Program of China (Grant No. 2006CB303102);Science and Technology Commission of Shanghai Municipality, China (Grant No. 09DZ2272900)

摘　　要：In this paper, we use a kind of univariate multiquadric quasi-interpolation to solve a parabolic equation with overspecified data, which has arisen in many physical phenomena. We obtain the numerical scheme by using the derivative of the quasi-interpolation to approximate the spatial derivative of the dependent variable and a simple forward difference to approximate the temporal derivative of the dependent variable. The advantage of the presented scheme is that the algorithm is very simple so it is very easy to implement. The results of the numerical experiment are presented and are compared with the exact solution to confirm the good accuracy of the presented scheme.In this paper, we use a kind of univariate multiquadric quasi-interpolation to solve a parabolic equation with overspecified data, which has arisen in many physical phenomena. We obtain the numerical scheme by using the derivative of the quasi-interpolation to approximate the spatial derivative of the dependent variable and a simple forward difference to approximate the temporal derivative of the dependent variable. The advantage of the presented scheme is that the algorithm is very simple so it is very easy to implement. The results of the numerical experiment are presented and are compared with the exact solution to confirm the good accuracy of the presented scheme.

关 键 词：control parameter diffusion processes temperature overspecification quasiinterpolation 

分 类 号：O411.1[理学—理论物理]