| 一种一维扩散方程三阶精度的半离散隐式差分格式 |
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| 引用本文： | 开依沙尔·热合曼.一种一维扩散方程三阶精度的半离散隐式差分格式[J].甘肃联合大学学报(自然科学版),2009,23(1). |
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| 作者姓名： | 开依沙尔·热合曼 |
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| 作者单位： | 新疆大学,数学与系统科学学院,新疆,乌鲁木齐,830046 |
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| 基金项目： | 新疆大学校院联合项目 |
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| 摘 要： | 采用半离散方法对空间变量进行离散,时间变量保持不变,将一维扩散方程转化为常微分方程组的初值问题.用改进的单步方法1]对一维扩散方程构造了三阶精度的隐式差分格式.进行稳定性分析,做了数值实验,数值实验的结果表明该方法精度高、收敛速度快、绝对稳定、是求解扩散方程的有效的方法之一.
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| 关 键 词： | 一维扩散方程 半离散 高精度 隐式差分格式 |
Thrid-oder Semidiscrete Implict Difference Scheme for the One Dimensional Diffusion Equation |
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| Kaysar·Rahman.Thrid-oder Semidiscrete Implict Difference Scheme for the One Dimensional Diffusion Equation[J].Journal of Gansu Lianhe University :Natural Sciences,2009,23(1). |
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| Authors: | Kaysar·Rahman |
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| Institution: | School of Mathematics and System Sciences;Xinjiang University;Urumqi 830046;China |
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| Abstract: | In this paper we use semidiscrete methods to transform one dimensional diffusion equation to a system of ODES by discritizing it in space but leave the time variable continuous,and the system of ODES can be useded by the methods in paper1] to construct the third order unconditionally implict scheme.We analyze the stability and local trunction error of our method and make a numerical experiment,and compare with Crank-Nicolson scheme.Experiment result shows that our method has high accuracy,fast convergence ... |
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| Keywords: | one dimensional diffusion equation semi-discrete method higher odder implicit difference scheme |
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