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Unlike all of the source reconstruction methods found in literature, the method introduced in this work computes regularized solutions from a triangular linear system arising from a semi-discretization in the space of the continuous model. Regularization is introduced by applying the generalized singular value decomposition of a proper matrix pair along with truncation. Numerical results illustrate the effectiveness of the method.&lt;\/p&gt;&lt;\/abstract&gt;<\/jats:p>","DOI":"10.3934\/nhm.2023076","type":"journal-article","created":{"date-parts":[[2023,10,18]],"date-time":"2023-10-18T11:04:06Z","timestamp":1697627046000},"page":"1747-1771","source":"Crossref","is-referenced-by-count":3,"title":["Inverse time-dependent source problem for the heat equation with a nonlocal Wentzell-Neumann boundary condition"],"prefix":"10.3934","volume":"18","author":[{"given":"Ferm\u00edn S. 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