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An accurate simulation of blood flow within cerebral vessels has emerged as a crucial area of research. In this study, we focus on microcirculatory blood flow in ischemic brain tissue and employ a 0D\u20101D geometric multi\u2010scale coupled model to characterize this process. Given the intricate nature of human cerebral vessels, we apply a numerical method combining the finite element method and the third\u2010order Runge\u2013Kutta method to resolve the coupled model. To enhance computational efficiency, we introduce a fast method based on the reduced\u2010order extrapolation algorithm. Our numerical example underscores the stability of the method and convergence accuracy to , while significantly improving the accuracy and efficiency of blood flow simulation, making the mechanism analysis more accurate. Additionally, we present examples detailing variations and distribution of intracranial pressure and blood flow in ischemic brain tissue throughout a cardiac cycle. Both reduced vascular compliance and vascular stenosis can have adverse effects on intracranial cerebral pressure and blood flow, leading to insufficient local oxygen supply and negative effects on brain function. Meanwhile, there will also be corresponding changes in volume flow and pulsatile blood pressure.<\/jats:p>","DOI":"10.1002\/cnm.3828","type":"journal-article","created":{"date-parts":[[2024,4,22]],"date-time":"2024-04-22T09:04:40Z","timestamp":1713776680000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Numerical simulation and fast method for the <scp>0D\u20101D<\/scp> multi\u2010scale coupled model and its application in ischemic brain tissue blood flow problems"],"prefix":"10.1002","volume":"40","author":[{"given":"Yi","family":"Liu","sequence":"first","affiliation":[{"name":"School of Mathematics Shandong University  Jinan China"},{"name":"School of Mathematics Qilu Normal University  Jinan China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Junqing","family":"Jia","sequence":"additional","affiliation":[{"name":"School of Mathematics Shandong University  Jinan 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