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一类非线性热传导方程的守恒型格式与逐次超松弛-牛顿法“最优”松弛因子的选取
THE CONSERVATIVE DIFFERENCE SCHEMES OF A SORT OF NONLINEAR HEAT CONDUCTION EQUATION AND THE CHOICE OF“OPTIMUM”RELAXATION PARAMETER IN SOR-NEWTON METHOD
【摘要】 <正> 一、一类非线性热传导方程的守恒型格式 据[1],我们讨论一类非线性热传导方程边值问题:式中Гi(i=1,2,3)是区域G的边界Гi的外法线方向(见图1),K0是正常数,函数g(y),
【Abstract】 In this paper, difference equations based on the principle of Conservation are given. Theymay be employed for more complex cases, because the mesh points and mesh regions can bechosen more arbitrarily. The SOR-Newton method is used for solxing the nonlinear differenceequations. This paper also points out in theory and practice that the "Optimum" relaxationparameters, like those in the SOR method, may be obtained in iteration process.
- 【文献出处】 数值计算与计算机应用 ,Journal of Numerical Methods and Computer Applications , 编辑部邮箱 ,1980年02期
- 【被引频次】1
- 【下载频次】90