SOLUTION OF THE TWO-DIMENSIONAL TELEGRAPH EQUATION VIA THE LOCAL RADIAL BASIS FUNCTIONS METHOD

被引:0
作者
Niknam, Sepideh [1 ]
Adibi, Hojatollah [1 ]
机构
[1] Islamic Azad Univ, Cent Tehran Branch, Dept Appl Math, Tehran, Iran
来源
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2022年 / 12卷 / 01期
关键词
Radial basis function; Scattered data; Local RBF; Numerical partial differential equations; DATA APPROXIMATION SCHEME; NUMERICAL-SOLUTION; MESHLESS METHOD; INTEGRAL-EQUATIONS; SCATTERED DATA; 2ND KIND; COLLOCATION; MULTIQUADRICS;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In the present study, we utilize the local meshless method for solving second order hyperbolic partial differential equation in two dimensions. First we apply the Crank-Nicolson difference scheme for the time derivative and the local radial basis functions (LRBFs) collocation method for the spatial derivative. The local approach breaks down the problem domain into subdomains and results small matrix system for each data. Some numerical examples are included to verify the computational efficiency of the proposed method.
引用
收藏
页码:120 / 135
页数:16
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