放射性气体扩散方程有限差分法的MATLAB实现  

Limited Difference Method of Radioactive Gas Diffusion Equation by MATLAB

作　　者：龙亮 张振华[1] 姜林 周科廷 莫懿新 

机构地区：[1]南华大学核科学技术学院,湖南衡阳421001

出　　处：《咸阳师范学院学报》2017年第6期40-42,共3页Journal of Xianyang Normal University

基　　金：国家自然科学基金项目(11275094);中国科学院战略性先导科技项目(XDA10010500)

摘　　要：对于放射性气体在介质中扩散的初边值问题,其扩散方程为非齐次的二阶偏微分方程,用解析法求解往往很复杂。有限差分法的计算效率高,物理图像更为直观清晰。经过推导得到了相应的隐式有限差分格式的离散方程,选定合适的网格比,即可使用MATLAB软件编程实现放射性气体扩散方程的有限差分求解、绘图。最后,数值实验证明了该方法的可行性与准确度。For the initial boundary value problem of radioactive gas in the medium, its diffusion equation is a non-homogeneous second-order partial differential equation, which tends to be complicated by analytic method. The finite difference method is efficient with the physical image being more visual and distinct. After discrete equations are derived from the corresponding implicit finite difference scheme, select appropriate grid, and then, use MATLAB software programming realization of radioactive gas diffusion equation of finite difference solution, and plot. Finally, numerical experiments prove the feasibility and accuracy of the method.

关 键 词：放射性气体 扩散方程 有限差分法 MATLAB 

分 类 号：O552.2[理学—热学与物质分子运动论]