Fourth-Order Deferred Correction Scheme for Solving Heat Conduction Problem

D. Yambangwai; N. P. Moshkin

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Fourth-Order Deferred Correction Scheme for Solving Heat Conduction Problem

机译：解决热传导问题的四阶递延校正方案

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A deferred correction method is utilized to increase the order of spatial accuracy of the Crank-Nicolson scheme for the numerical solution of the one-dimensional heat equation. The fourth-order methods proposed are the easier development and can be solved by using Thomas algorithms. The stability analysis and numerical experiments have been limited to one-dimensional heat-conducting problems with Dirichlet boundary conditions and initial data.

机译：对于一维热方程的数值解，采用了递延校正方法来提高Crank-Nicolson方案的空间精度等级。提出的四阶方法易于开发，可以通过使用Thomas算法解决。稳定性分析和数值实验仅限于具有Dirichlet边界条件和初始数据的一维导热问题。

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《Mathematical Problems in Engineering》 |2013年第3期|574620.1-574620.9|共9页
作者
D. Yambangwai; N. P. Moshkin;
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作者单位

Department of Mathematics, School of Science, University of Phayao, Phayao 56000, Thailand;

School of Mathematics, Institute of Science, Suranaree University of Technology, Nakhon Ratchasima 30000, Thailand;

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Fourth-Order Deferred Correction Scheme for Solving Heat Conduction Problem

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