矩阵的指数运算在传热问题计算中的应用  

Application of computation of exponential of a matrix in heat transfer

作　　者：孙文策[1] 刘汉礼[1] 

机构地区：[1]大连理工大学动力工程系,大连市理工工程建设监理公司

出　　处：《大连理工大学学报》1995年第4期525-527,共3页Journal of Dalian University of Technology

摘　　要：将矩阵的指数运算用于一堆热传导方程的求解，算例结果与精确解相当吻合。这种方法与有限元方法相比有精度高和运算简便的优势。本方法可以推广到二维、三维及有热源热传导问题。This paper presents a methed of solution to the equation of conduction-onedimesion with computation of exponential of a matrix. The result of the calculation shows thatthe methed is simple and direct,and more accurate than the finite element methed. This methodcan be used for the conduction-two or three dimensiohs and conduction with heat sources also.

关 键 词：热传导方程 矩阵 指数 

分 类 号：O551.3[理学—热学与物质分子运动论]