摘要
本文在再生核空间Ｗ中，给出定态对流扩散方程的一种级数形式的解析解，此解析解具有如下特点：１）解是由精确的形式给出；２）解是显式计算，不须解方程组；３）在数值求解中，每增加一个基数项，近似解的误差在空间范数意义下单调下降。最后对［２］中的算例，进行了计算，结果比［２］中给出的渐近解精度高。
In this paper, in the space W that possesses restoring nucleus, we obtain analytic solutions in the series form for the steady-state convection diffusion equation,The solutions have the following characteristics:1)they are given in the accurate form; 2)they can be calculated in the explicit way,without solv-ing the equations;3) the error of the approximate solution will be monotonically decreased under the meaning of the meaning of the norm of the spaces when a cardinal term is added in the procedure of numerical solution.Finally,we calculated the example in [2],the result shows that our solution is more accurate than that in[2]。
出处
《应用数学和力学》
EI
CSCD
北大核心
1994年第10期885-891,共7页
Applied Mathematics and Mechanics
基金
国家自然科学基金
关键词
再生核空间
对流扩散方程
解析解
restoring nucleus, convection diffusion equation,analytic solutions
