【摘要】 用分离变量法和变量变换原理,解析求解含内热源的多维稳态热传导问题,并得到含有变型贝塞尔函数的精确解.同时,在结构化网格中,用有限容积方法离散热传导方程,用可视化FORTRAN编写二维和三维计算程序,并且对该问题进行数值计算,将数值计算结果与精确解进行比较.这两种方法的结果呈现出令人满意的一致性,从而可以佐证数值方法和解析方法完美的互补性与实用性.更多还原

【Abstract】 The multi-dimensional steady state heat conduction problems with the heat source terms were solved using the variation variable methods and variable transforms.And,they were calculated in the finite volume method(FVM) and structured meshes.The results are in agreement when the numerical solution compared with the exact solutions.All these above-mentioned demonstrate the significance of application about the procedures in mathematics analyst and numerical computation.更多还原