https://scholars.lib.ntu.edu.tw/handle/123456789/598421
標題: | Space–time localized polynomial basis functions for solving parabolic and hyperbolic equations | 作者: | Chen C.S Naji A Cao Y Chen C.-S. CHUIN-SHAN CHEN |
關鍵字: | localized polynomial particular solutions;Polynomial;space–time problems;Hyperbolic functions;Numerical methods;Polynomials;Hyperbolic equations;Localised;Localized polynomial particular solution;Meshless;Parabolic Equations;Particular solution;Polynomial basis functions;Spacetime;Space–time problem;Time-dependent problem;Radial basis function networks | 公開日期: | 2021 | 來源出版物: | International Journal of Computer Mathematics | 摘要: | In this paper, two localized meshless schemes using polynomial basis functions have been presented for solving space–time problems. The proposed methods are especially attractive for solving time-dependent problems in 3D spacious domain. The results showed the simplicity and high accuracy of the proposed methods. Six numerical examples are given to illustrate the effectiveness of the proposed methods. We also presented the pros and cons of the proposed methods by comparing to the results of some recent publications using global polynomial basis functions and localized radial basis functions. ? 2021 Informa UK Limited, trading as Taylor & Francis Group. |
URI: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85119672724&doi=10.1080%2f00207160.2021.2000968&partnerID=40&md5=08a82d5e5fc5cbf578c46296cfebfebc https://scholars.lib.ntu.edu.tw/handle/123456789/598421 |
ISSN: | 00207160 | DOI: | 10.1080/00207160.2021.2000968 |
顯示於: | 土木工程學系 |
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