| 动力系统法求解逆热传导 |
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| 引用本文： | 傅红笋,韩波. 动力系统法求解逆热传导[J]. 大连海事大学学报(自然科学版), 2009, 35(3) |
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| 作者姓名： | 傅红笋 韩波 |
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| 作者单位： | 1. 大连海事大学数学系,辽宁大连,116026
2. 哈尔滨工业大学数学系,哈尔滨,150001 |
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| 基金项目： | 国家自然科学基金资助项目(40774056) |
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| 摘 要： | 为克服逆热传导的严重不适定性,基于动力系统法的一种简单形式,并利用后验停止准则来获取其稳定的数值解.理论分析和数值试验结果均表明:该方法具有简洁、高效、结果稳定等优点.
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| 关 键 词： | 动力系统法 逆热传导 不适定性 |
Dynamical systems method for solving sideways heat equation |
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| FU Hong-sun , HAN Bo. Dynamical systems method for solving sideways heat equation[J]. Journal of Dalian Maritime University, 2009, 35(3) |
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| Authors: | FU Hong-sun HAN Bo |
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| Affiliation: | FU Hong-sun1,HAN Bo2(1.Department of Mathematics,Dalian Maritime University,Dalian 116026,China,2.Department of Mathematics,Harbin Institute of Technology,Harbin 150001,China) |
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| Abstract: | To overcome the severely ill-posedness of sideways heat equation,a version of the dynamical systems method which using posteriori stopping rules was used to gain the stable numerical solution of the sideways heat equation.Theoretical analysis and numerical test indicate that the proposed method possesses the advantages of high-efficiency,simple operation,stability and so on. |
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| Keywords: | dynamical systems method sideways heat equation ill-posed problem |
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