A local meshfree radial point interpolation method for Berger equation arising in modelling of thin plates

被引:5
|
作者
Oruc, Omer [1 ]
机构
[1] Dicle Univ, Fac Sci, Dept Math, Diyarbakir, Turkiye
关键词
Deflection of thin plates; Local radial point interpolation; Meshfree method; Berger equation; MESHLESS METHOD; DIFFERENTIAL-EQUATIONS; LARGE DEFLECTIONS; FORM METHOD; COLLOCATION; SIMULATION; SCHEME;
D O I
10.1016/j.apm.2023.03.014
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this study, two-dimensional (2D) Berger equation arising in deflection of thin plates is solved numerically. A local meshfree collocation technique based on radial point interpolation is developed for the Berger equation. As radial basis function thin plate splines are used to avoid selecting optimal shape parameter. The method is used to solve both linear and non-linear Berger equation on regular and irregular geometries. Obtained results during numerical simulations, are compared with different methods exist in literatrue such as method of fundamental solutions, local Kansa's method and Pascal polynomial based meshless method. The comparisons affirm the accuracy and reliability of the suggested method.
引用
收藏
页码:555 / 571
页数:17
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