An iterative method based on coupled closed-form coefficients expansions for recovering the pollutant source and initial pollution profile

DOI10.1016/J.CAM.2017.05.027zbMath1370.65049OpenAlexW2618067673MaRDI QIDQ2012589

Chein-Shan Liu, Peifang Wang, Jiang-Ren Chang

Publication date: 1 August 2017

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2017.05.027

zbMATH Keywords

algorithmconvergenceinverse problemnumerical examplesiterative methodeigenfunctionsintegral equation methodadvection-diffusion equationadjoint Trefftz test functionsclosed-form coefficients expansioninitial pollution profile problempollutant source recovery problem

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)

Related Items (3)

Generalized Störmer-Cowell methods for nonlinear BVPs of second-order delay-integro-differential equations ⋮ Closed-form higher-order numerical differentiators for differentiating noisy signals ⋮ The adapted block boundary value methods for singular initial value problems

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