Radial basis functions and FDM for solving fractional diffusion-wave equation

被引：0
|
作者：
Avazzadeh, Z. [1 ]
Hosseini, V. R. [1 ]
Chen, W. [1 ]
机构：
[1] Hohai Univ, Coll Mech & Mat, State Key Lab Hydrol Water Resources & Hydraul En, Nanjing 210098, Jiangsu, Peoples R China
来源：
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE | 2014年 / 38卷 / A3期
关键词：
Diffusion-wave equation; fractional derivative; radial basis functions; finite difference scheme; NUMERICAL-SOLUTION; APPROXIMATION; INTERPOLATION; SUBDIFFUSION;
D O I：
暂无
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this work, we apply the radial basis functions for solving the time fractional diffusion-wave equation defined by Caputo sense for (1 < alpha <= 2). The problem is discretized in the time direction based on finite difference scheme and is continuously approximated by using the radial basis functions in the space direction which achieves the semi-discrete solution. Numerical results show the accuracy and efficiency of the presented method.
引用
收藏
页码：205 / 212
页数：8
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