The LMAPS for solving fourth-order PDEs with polynomial basis functions

C.S. Chen, Shu-Hui Shen, Fangfang Dou and J. Li

Mathematics and Computers in Simulation (MATCOM), 2020, vol. 177, issue C, 500-515

Abstract: Due to certain difficulties in solving fourth-order partial differential equations (PDEs) using localized methods, the given differential equation is normally split into two decoupled second order PDEs. Such an approach is only feasible for Dirichlet and Laplace boundary conditions. In this paper the localized method of particular solutions is applied to fourth-order PDEs directly using polynomial basis functions. The effectiveness of the proposed algorithms is demonstrated by considering four numerical examples.

Keywords: Localized method of approximate particular solutions; Particular solution; Fourth-order partial differential equation; Polynomial basis function; Helmholtz equation (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:177:y:2020:i:c:p:500-515

DOI: 10.1016/j.matcom.2020.05.013

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