Modulating functions-based method for parameters and source estimation in one-dimensional partial differential equations
KAUST DepartmentApplied Mathematics and Computational Science Program
Computational Bioscience Research Center (CBRC)
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Electrical Engineering Program
Online Publication Date2016-10-20
Print Publication Date2017-08-03
Permanent link to this recordhttp://hdl.handle.net/10754/622431
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AbstractIn this paper, modulating functions-based method is proposed for estimating space–time-dependent unknowns in one-dimensional partial differential equations. The proposed method simplifies the problem into a system of algebraic equations linear in unknown parameters. The well-posedness of the modulating functions-based solution is proved. The wave and the fifth-order KdV equations are used as examples to show the effectiveness of the proposed method in both noise-free and noisy cases.
CitationAsiri S, Laleg-Kirati T-M (2016) Modulating functions-based method for parameters and source estimation in one-dimensional partial differential equations. Inverse Problems in Science and Engineering: 1–25. Available: http://dx.doi.org/10.1080/17415977.2016.1240793.
SponsorsResearch reported in this publication was supported by King Abdullah University of Science and Technology (KAUST).
PublisherInforma UK Limited