Authors
Guofei Pang, Wen Chen, Zhuojia Fu
Publication date
2015/7/15
Journal
Journal of Computational Physics
Volume
293
Pages
280-296
Publisher
Academic Press
Description
The paper makes the first attempt at applying the Kansa method, a radial basis function meshless collocation method, to the space-fractional advection–dispersion equations, which have recently been observed to accurately describe solute transport in a variety of field and lab experiments characterized by occasional large jumps with fewer parameters than the classical models of integer-order derivative. However, because of non-local property of integro-differential operator of space-fractional derivative, numerical solution of these novel models is very challenging and little has been reported in literature. It is stressed that local approximation techniques such as the finite element and finite difference methods lose their sparse discretization matrix due to this non-local property. Thus, the global methods appear to have certain advantages in numerical simulation of these non-local models because of their high …
Scholar articles
G Pang, W Chen, Z Fu - Journal of Computational Physics, 2015