| 化学工程中非线性方程数值求解的敛散性研究 |
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| 引用本文： | 鲍高强,段毅文.化学工程中非线性方程数值求解的敛散性研究[J].内蒙古师范大学学报(自然科学版),2006,35(2):219-222. |
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| 作者姓名： | 鲍高强 段毅文 |
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| 作者单位： | [1]绍兴文理学院上虞分院,浙江上虞312300 [2]内蒙古师范大学 化学与环境科学学院,内蒙古呼和浩特010022 |
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| 摘 要： | 采用泰勒展开式得到一组数值计算方法,进行非线性方程迭代数值计算近似求解,找到一个判断计算的数值解是否收敛于它的真实解的判据,讨论了数值解的收敛域和收敛速度的大小.
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| 关 键 词： | 非线性方程 泰勒展开式 数值计算 敛散性 |
| 文章编号： | 1001-8735（2006）02-0219-04 |
| 收稿时间： | 2005-03-01 |
| 修稿时间： | 2006-03-01 |
Convergence of numerical methods for the nonlinear equation in chemical reaction engineering |
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| BAO Gao-qiang,DUAN Yi-wen.Convergence of numerical methods for the nonlinear equation in chemical reaction engineering[J].Journal of Inner Mongolia Normal University(Natural Science Edition),2006,35(2):219-222. |
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| Authors: | BAO Gao-qiang DUAN Yi-wen |
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| Institution: | Shangyu Division of Shaoxing Literature and Science College,Shangyu 312300,China;College of Chemical and Environmental Science,Inner Mongolia Normal University,Huhhot 010022,China |
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| Abstract: | Numerical solution of nonlinear equation is of vital importance to explain some basic problems in chemical reaction engineering.A group of numerical methods were given by Taylor Expansion.A criterion is given to adjust if the numerical solutions of a nonlinear equation converge to its solution,and its converging region and speed were also discussed. |
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| Keywords: | nonlinear equation Taylor expansion numerical computation convergence |
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