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热学教学中应用迭代法的实例
引用本文:高崇伊.热学教学中应用迭代法的实例[J].高等理科教育,2011(2):115-120.
作者姓名:高崇伊
作者单位:兰州大学,物理科学与技术学院,甘肃,兰州,730000
基金项目:教育部"2006 年度国家精品课程"项目
摘    要:迭代法是计算数学中常用的一种求各类方程的近似解的计算方法。在解代数方程、超越方程、微分方程和积分方程时,使用迭代法常常可以比较快捷方便地得到方程足够精确的近似解。本文通过热学课程教学中的一些实例,介绍了应用迭代法时所遇到的诸如“初始值的选取”、“迭代公式的选择”、“迭代结果呈现出的发散趋势”等方面的相关知识。

关 键 词:热学  迭代法  初始值  迭代公式  发散

The Instances of Applying Iteration Method in Heat Teaching
GAO Chong-yi.The Instances of Applying Iteration Method in Heat Teaching[J].Higher Education of Sciences,2011(2):115-120.
Authors:GAO Chong-yi
Institution:GAO Chong-yi(School of Physical Science and Technology,Lanzhou University,Lanzhou,730000,China)
Abstract:Iteration method is a common computing method in computational mathematics to get approximate solutions of various equations.Usually,when it's adopted in solving algebraic equations,transcendental equations,differential equations and integral equations,approximate solutions with sufficient accuracy can be achieved easily.In this article,related knowledge on applying iteration method,such as "Selection of initial value","Selection of iterative formula" and "Divergence trend of iteration result" are introduced,via some instances in heat curriculum teaching.
Keywords:heat  iteration method  initial value  iterative formula  divergence
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