Modulating functions-based method for parameters and source estimation in one-dimensional partial differential equations
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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