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The existence and uniqueness of the solution for the continuous space-time variational formulation are proven. We prove the existence of the discrete solution and also establish the a priori error estimate for the space-time isogeometric scheme. The non-linear system is linearized through Picard\u2019s method, and a suitable preconditioner for the linearized system is provided. Finally, to confirm the theoretical findings, the results of some numerical experiments are presented.<\/jats:p>","DOI":"10.1007\/s10444-026-10285-9","type":"journal-article","created":{"date-parts":[[2026,2,12]],"date-time":"2026-02-12T10:09:51Z","timestamp":1770890991000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Space-time isogeometric method for a nonlocal parabolic problem"],"prefix":"10.1007","volume":"52","author":[{"given":"Sudhakar","family":"Chaudhary","sequence":"first","affiliation":[]},{"given":"Shreya","family":"Chauhan","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0729-063X","authenticated-orcid":false,"given":"Monica","family":"Montardini","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2026,2,12]]},"reference":[{"key":"10285_CR1","doi-asserted-by":"publisher","first-page":"65","DOI":"10.1023\/A:1009706118910","volume":"3","author":"M Chipot","year":"1999","unstructured":"Chipot, M., Lovat, B.: On the asymptotic behavior of some nonlocal problems. 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