National Taiwan Ocean University Institutional Repository:Item 987654321/46887
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题名: Recovering a Source Term in the Time-Fractional Burgers Equation by an Energy Boundary Functional Equation
作者: Chein-ShanLiu;Jiang-RenChang
贡献者: 國立臺灣海洋大學:系統工程暨造船學系
关键词: Time-fractional Burgers equation;Space and time dependent source;Energy boundary functions;Energy functional equation;Iterative method
日期: 2018
上传时间: 2018-06-08T08:02:01Z
出版者: Applied Mathematics Letters
摘要: Abstract:An inverse source problem for the recovery of an unknown space–time dependent source term of a time-fractional Burgers equation is solved in the paper. By using the prescribed boundary data, a sequence of boundary functions is derived, which together with the zero element constitute a linear space. An energy boundary functional equation is derived in the linear space, of which the time-dependent energy is preserved for each energy boundary function. The iterative algorithm used to recover the unknown source with energy boundary functions as the bases is developed, which is robust and convergent fast.
關聯: 79 pp.138-145
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/46887
显示于类别:[系統工程暨造船學系] 期刊論文

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