A Meshfree Computational Approach Based on Multiple-Scale Pascal Polynomials for Numerical Solution of a 2D Elliptic Problem with Nonlocal Boundary Conditions
2019 ◽
Vol 17
(10)
◽
pp. 1950080
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Keyword(s):
A two-dimensional (2D) elliptic problem with nonlocal boundary conditions on both regular and irregular domains is solved numerically by Pascal polynomial basis unified with multiple-scale technique. Very accurate numerical solutions and quite reasonable condition numbers are obtained with the proposed method which is also a truly meshfree method since difficult meshing processes or numerical integrations over domains are not needed for considered problems. Four test problems are solved to show the accuracy and efficiency of the proposed method. Also stability of the method is studied against large noise effect.
2001 ◽
Vol 136
(1-2)
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pp. 227-243
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2016 ◽
Vol 2016
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pp. 1-12
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2014 ◽
Vol 19
(3)
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pp. 301-334
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Vol 0
(0)
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2021 ◽
Vol 498
(1)
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pp. 124941