{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,26]],"date-time":"2026-03-26T12:42:53Z","timestamp":1774528973934,"version":"3.50.1"},"reference-count":28,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Wavelets Multiresolut Inf. Process."],"published-print":{"date-parts":[[2021,5]]},"abstract":"<jats:p> The radial basis functions meshfree method is a research method for thin plate problem which has gradually developed into a more mature meshfree method. It includes finite element, radial basis functions meshfree collocation method, etc. In this paper, we introduce the multilevel radial basis function collocation method for the fourth-order thin plate problem. We use nonsymmetric Kansa multilevel radial basis function collocation method to solve the fourth-order thin plate problem. Two numerical examples based on Wendland\u2019s [Formula: see text] and [Formula: see text] functions are given to examine that the convergence of the multilevel radial basis function collocation method which is good for solving the fourth-order thin plate problem. <\/jats:p>","DOI":"10.1142\/s0219691320500794","type":"journal-article","created":{"date-parts":[[2020,11,3]],"date-time":"2020-11-03T14:51:26Z","timestamp":1604415086000},"page":"2050079","source":"Crossref","is-referenced-by-count":2,"title":["Multilevel RBF collocation method for the fourth-order thin plate problem"],"prefix":"10.1142","volume":"19","author":[{"given":"Lanling","family":"Ding","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Ningxia University, Yinchuan, 750021, P. R. China"}]},{"given":"Zhiyong","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Ningxia University, Yinchuan, 750021, P. R. 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