Numerical solution of space-fractional partial differential equations by a differential quadrature approach
Numerical Analysis
2017-01-24 v1
Abstract
This article aims to develop a direct numerical approach to solve the space-fractional partial differential equations (PDEs) based on a new differential quadrature (DQ) technique. The fractional derivatives are approximated by the weighted linear combinations of the function values at discrete grid points on problem domain with the weights calculated via using three types of radial basis functions (RBFs) as test functions. The method in presence is robust, straight forward to apply, and highly accurate under the condition that the shape parameters of RBFs are well chosen. Numerical tests are provided to illustrate its validity and capability.
Keywords
Cite
@article{arxiv.1701.06118,
title = {Numerical solution of space-fractional partial differential equations by a differential quadrature approach},
author = {X. G. Zhu and Y. F. Nie},
journal= {arXiv preprint arXiv:1701.06118},
year = {2017}
}
Comments
11 pages, 3 tables