乐胖代购免代理版

{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T16:41:35Z","timestamp":1740156095897,"version":"3.37.3"},"reference-count":29,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2022,12,5]],"date-time":"2022-12-05T00:00:00Z","timestamp":1670198400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"the National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11961044"],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"the Natural Science Foundation of Gansu Province","award":["21JR7RA214"]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"In this manuscript, we study the inverse problem for identifying the initial value of a time-fractional diffusion equation in an axisymmetric region. This is an ill-posed problem, i.e., the solution does not depend continuously on the data. We choose the Landweber iterative regularization method to solve this problem. Under the a priori and the a posteriori regularization parameter choice rules, we present the error estimates between the regularization solutions and the exact solution. We present some examples to show this method\u2019s effectiveness.<\/jats:p>","DOI":"10.3390\/sym14122569","type":"journal-article","created":{"date-parts":[[2022,12,5]],"date-time":"2022-12-05T09:10:02Z","timestamp":1670231402000},"page":"2569","source":"Crossref","is-referenced-by-count":1,"title":["Identification of the Initial Value for a Time-Fractional Diffusion Equation"],"prefix":"10.3390","volume":"14","author":[{"given":"Fan","family":"Yang","sequence":"first","affiliation":[{"name":"School of Science, Lanzhou University of Technology, Lanzhou 730050, China"}]},{"given":"Yin-Xia","family":"Gao","sequence":"additional","affiliation":[{"name":"School of Science, Lanzhou University of Technology, Lanzhou 730050, China"}]},{"given":"Dun-Gang","family":"Li","sequence":"additional","affiliation":[{"name":"School of Science, Lanzhou University of Technology, Lanzhou 730050, China"}]},{"given":"Xiao-Xiao","family":"Li","sequence":"additional","affiliation":[{"name":"School of Science, Lanzhou University of Technology, Lanzhou 730050, China"}]}],"member":"1968","published-online":{"date-parts":[[2022,12,5]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1463","DOI":"10.1016\/j.enganabound.2004.07.003","article-title":"Time-dependent fundamental solutions for homogeneous diffusion problems","volume":"28","author":"Young","year":"2004","journal-title":"Eng. 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