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伽略金近似方法与数值方法的比较分析
Comparative Analysis between Galerkin Approximating Method and Numerical Computation
【摘要】 针对复杂的非线性热传导问题求解的困难,在系统地介绍伽略金近似方法基本概念的基础上,采用伽略金近似方法对直角坐标系的非稳态热传导算例进行计算,同时与数值解和精确解进行比较分析.结果表明伽略金近似方法可用于求解各类复杂的非线性热传导问题.
【Abstract】 On the basis of introducing the basic conception of Galerkin method,and with an example of Cartesian coordinate,the unsteady state heat conduction problem were solved and calculated using the finite volume method in structured grid.The results are in agreement when the approximate solution is compared with the numerical and the exact solutions.These prove that Galerkin approximating method is applicable to solve nonlinear heat conduction problem.
【关键词】 伽略金近似方法;
数值方法;
精确解;
【Key words】 Galerkin approximate method; numerical simulating method; exact solution;
【Key words】 Galerkin approximate method; numerical simulating method; exact solution;
- 【文献出处】 南京师范大学学报(工程技术版) ,Journal of Nanjing Normal University(Engineering and Technology Edition) , 编辑部邮箱 ,2010年03期
- 【分类号】TK124
- 【被引频次】1
- 【下载频次】80