Journal
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
Volume 37, Issue 4, Pages 788-804Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.enganabound.2013.01.009
Keywords
Poisson equation; Nonlocal boundary condition; Meshless method; Radial basis function; Collocation; Shape parameter; Condition number
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Various real-world processes usually can be described by mathematical models consisted of partial differential equations (PDEs) with nonlocal boundary conditions. Therefore, interest in developing computational methods for the solution of such nonclassical differential problems has been growing fast. We use a meshless method based on radial basis functions (RBF) collocation technique for the solution of two-dimensional Poisson equation with nonlocal boundary conditions. The main attention is paid to the influence of nonlocal conditions on the optimal choice of the RBF shape parameters as well as their influence on the conditioning and accuracy of the method. The results of numerical study are presented and discussed. (C) 2013 Elsevier Ltd. All rights reserved.
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