Explicit scheme based on integral transforms for estimation of source terms in diffusion problems in heterogeneous media
André José Pereira de Oliveira,
Luiz Alberto da Silva Abreu,
Diego Campos Knupp
Abstract:The estimation of source terms present in differential equations has various applications, ranging from structural assessment, industrial process monitoring, equipment failure detection, environmental pollution source detection to identification applications in medicine. Significant progress has been made in recent years in methodologies capable of estimating this parameter. This work employs a methodology based on an explicit formulation of the integral transformation to characterize the unknown source term, … Show more
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