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发表于 2017-8-23 09:53:23 | 显示全部楼层 |阅读模式
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<strong>标 题:</strong>Numerical Solutions of Direct and Inverse Problems for a Time Fractional Viscoel<br /><strong>作 者:</strong>Salih Tatar; Ramazan Tnaztepe; and Mustafa <br /><strong>期刊名称:</strong> Journal of Engineering Mechanics   <br /><strong>期卷页:</strong>   第卷 第期 页 <br /><strong>摘 要:</strong>This paper is devoted to numerical solutions of direct and inverse problems for the nonlinear nonlocal time fractional equation &amp;#8706; β /&amp;#8706;t β u(x,y,t)&amp;#8722;&amp;#8711;&amp;#8901;[f(T 2 )&amp;#8711;u]=2t &amp;#8706;β/&amp;#8706;tβu(x,y,t)&amp;#8722;&amp;#8711;·[f(T2)&amp;#8711;u]=2t, where T 2 =|&amp;#8711;u| 2  T2=|&amp;#8711;u|2. After solving the direct problem by the method of lines, a numerical method based on discretization of the minimization problem, steepest descent method, and least-squares approach is proposed for the solution of the inverse problem. Numerical examples with noise-free and noisy data illustrate applicability and accuracy of the proposed method to some extent. <br /><strong><font color='#ba1414'>文献频道链接:</font></strong><a href='http://doc.sciencenet.cn/DocInfo.aspx?id=24629'>http://doc.sciencenet.cn/DocInfo.aspx?id=24629</a> <br /><strong>原文链接:</strong>http://ascelibrary.org/doi/pdf/10.1061/(ASCE)EM.1943-7889.0001239 <br />

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发表于 2017-8-23 09:53:24 | 显示全部楼层
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 楼主| 发表于 2017-8-24 08:23:10 | 显示全部楼层
回复 summerice9 的帖子

非常感谢!
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发表于 2017-8-25 15:12:43 | 显示全部楼层
回复 houguolin 的帖子

不谢哈
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