Identification of transient boundary conditions with improved cuckoo search algorithm and polynomial approximation

作者: Hao-long Chen , Bo Yu , Huan-lin Zhou , Zeng Meng

DOI: 10.1016/J.ENGANABOUND.2018.07.006

关键词: Boundary (topology)Broyden–Fletcher–Goldfarb–Shanno algorithmAlgorithmPosition (vector)Cuckoo searchDegree of a polynomialBoundary value problemFunction (mathematics)PolynomialMathematics

摘要: Abstract The cuckoo search (CS) algorithm combined with Broyden-Fletcher-Goldfarb-Shanno (BFGS) (CS-BFGS) is proposed to identify time-dependent boundary conditions for 2-D transient heat conduction problems in functionally gradient materials. Firstly the dual reciprocity element method (DRBEM) used solve direct problem. Then taking unknown as a polynomial function of coordinates coefficients, CS-BFGS applied obtain coefficients polynomial. As result, are evaluated. convergence speed faster than CS algorithm. What's more, effect degree discussed. increases, inverse results more accurate but iterative number and computation time also increase. Finally, influences position measurement points, random errors on investigated. With points closer boundary, increase point decrease errors, accurate.

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