APPLYING MULTIQUADRIC QUASI-INTERPOLATION TO SOLVE FOKKER-PLANCK EQUATION

被引：0
|
作者：
Rahimi, M. [1 ]
Adibi, H. [1 ]
Amirfakhrian, M. [1 ,2 ]
机构：
[1] Islamic Azad Univ, Cent Tehran Branch, Dept Math, Tehran, Iran
[2] Univ Calgary, Dept Comp Sci, Calgary, AB, Canada
来源：
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2023年 / 13卷 / 01期
关键词：
Fokker-Planck equation; multiquadric quasi-interpolation; theta-weighted finite difference method; collocation method; meshless method; NUMERICAL-SOLUTION;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Fokker-Planck equation (FPE) arises in various fields in physics, chemistry, natural science. It is difficult to obtain analytical solutions, accordingly we resort to numerical methods. In this study, we present a meshfree method to solve FPE. It is based on the multiquadric quasi-interpolation (MQQI) operator LW2 and collocation technique. Here, theta-weighted finite difference scheme is used to discretize the temporal derivative. Then, the unknown function and its spatial derivatives are approximated by the multiquadric quasi-interpolation (MQQI) operator LW2. Furthermore, the stability of the technique is investigated. This method is applied to some examples and the numerical results have been compared with the exact solutions and results of another method.
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收藏
页码：152 / 165
页数：14
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