A suitable hybrid meshless method for the numerical solution of time-fractional fourth-order reaction-diffusion model in the multi-dimensional case

被引：9
作者：
Habibirad, Ali [1 ]
Hesameddini, Esmail [1 ]
Shekari, Younes [2 ]
机构：
[1] Shiraz Univ Technol, Dept Math, Shiraz, Iran
[2] Univ Yasuj, Dept Mech Engn, Yasuj, Iran
来源：
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2022年 / 145卷
关键词：
Meshless method; Fractional derivative; Moving Kriging (MK) interpolation; Fourth-order model; ELEMENT-FREE GALERKIN; ESSENTIAL BOUNDARY-CONDITIONS; FINITE-ELEMENT; MLPG METHOD; COLLOCATION METHOD; HEAT-CONDUCTION; EQUATION; INTERPOLATION; ENFORCEMENT; COMBINATION;
D O I：
10.1016/j.enganabound.2022.09.007
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper introduces a mixed meshless method for the numerical solution of time-fractional fourth-order reaction-diffusion model in multi-dimensional case. By additional variable sigma=Delta(Psi), the fourth-order derivative in the equation can be converted to a system of paired two second-order equations. The current method converts the problem into a system of linear algebraic equations. To demonstrate the capability and flexibility of the proposed method, some examples with different geometric domains are given in one, two and three dimensional cases.
引用
收藏
页码：149 / 160
页数：12
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