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Numerical examples are given to show the performance of the presented method and the efficiency of the preconditioner.&lt;\/p&gt;<\/jats:p>","DOI":"10.3934\/nhm.2024041","type":"journal-article","created":{"date-parts":[[2024,9,14]],"date-time":"2024-09-14T11:27:15Z","timestamp":1726313235000},"page":"923-939","source":"Crossref","is-referenced-by-count":0,"title":["A modified domain decomposition spectral collocation method for parabolic partial differential equations"],"prefix":"10.3934","volume":"19","author":[{"given":"Wei-Hua","family":"Luo","sequence":"first","affiliation":[{"name":"School of Mathematics and Physics, Hunan University of Arts and Science, Changde, Hunan 415000, P.R. China"},{"name":"Laboratory of Numerical Simulation of Sichuan Provincial Universities, Neijiang Normal University, Neijiang, Sichuan, 641000, P.R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Liang","family":"Yin","sequence":"additional","affiliation":[{"name":"College of Mechanical Engineering, Hunan University of Arts and Science, Changde, Hunan, 415000, P.R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jun","family":"Guo","sequence":"additional","affiliation":[{"name":"College of Applied Mathematics, Chengdu University of Information Technology, Chengdu, Sichuan, 610225, P.R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"2321","reference":[{"key":"key-10.3934\/nhm.2024041-1","doi-asserted-by":"publisher","unstructured":"W. L. Wood, R. W. Lewis, A comparison of time marching schemes for the transient heat conduction equation, <i>Int. J. Numer. 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