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Title: Recovering a Source Term in the Time-Fractional Burgers Equation by an Energy Boundary Functional Equation
Authors: Chein-ShanLiu;Jiang-RenChang
Contributors: 國立臺灣海洋大學:系統工程暨造船學系
Keywords: Time-fractional Burgers equation;Space and time dependent source;Energy boundary functions;Energy functional equation;Iterative method
Date: 2018
Issue Date: 2018-06-08T08:02:01Z
Publisher: Applied Mathematics Letters
Abstract: 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.
Relation: 79 pp.138-145
Appears in Collections:[Department of Systems Engineering and Naval Architecture] Periodical Articles

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