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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/51947

Title: The MAPS based on trigonometric basis functions for solving elliptic partial differential equations with variable coefficients and Cauchy-Navier equations
Authors: D. Wang
C.S. Chen
C.M. Fan
M. Li
Contributors: 國立臺灣海洋大學:河海工程學系
Keywords: Method of approximate particular solutions
Trigonometric basis functions
Elliptic PDEs with variable coefficients
Cauchy–Navier equations
Date: 2019-01
Issue Date: 2019-01-09T07:30:36Z
Publisher: Mathematics and Computers in Simulation
Abstract: Abstract: In this paper, we extended the method of approximate particular solutions (MAPS) using trigonometric basis functions to solve two-dimensional elliptic partial differential equations (PDEs) with variable-coefficients and the Cauchy–Navier equations. The new approach is based on the closed-form particular solutions for second-order differential operators with constant coefficients. For the Cauchy–Navier equations, a reformulation of the equations is required so that the particular solutions for the new differential operators are available. Five numerical examples are provided to demonstrate the effectiveness of the proposed method.
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/51947
Appears in Collections:[河海工程學系] 期刊論文

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