基于Shannon小波和特征的输运方程反演方法

2015 IEEE Advanced Information Technology, Electronic and Automation Control Conference (IAEAC) Pub Date : 2015-12-01 DOI:10.1109/IAEAC.2015.7428535

Qiang Wu, F. Shi, Zongwei Luo

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引用次数: 1

摘要

提出了一种近似任意时刻输运方程解的倒推方法。采用特征法，沿着特征进行反向跟踪，得到所选采样节点处的解值。利用香农小波近似准确、构造方便的特点，以其为基函数，利用其截断的基数序列对解进行重构。通过算例验证了该方法的有效性和准确性。

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A backward method for transport equation based on Shannon wavelets and characteristics

A backward method is proposed to approximate the solution to transport equation at any time instant. With the method of characteristics, values of the solution at selected sampling nodes are obtained by backward tracking along the characteristics. By taking Shannon wavelets as basis functions citing their properties of accuracy in approximation and convenience in construction, the solution is reconstructed by its truncated cardinal serial. Validity and accuracy of the method are demonstrated by numerical examples.

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来源期刊

2015 IEEE Advanced Information Technology, Electronic and Automation Control Conference (IAEAC)

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