Polynomial Spectral Collocation Method for Steady State Fractional Advection Dispersion Equation

摘要：

The differentiation matrixes of the fractional operators, including Riemann-Liouville fractional integrals, Riemann-Liouville fractional derivatives and Caputo fractional derivatives, are derived for any collocation points within the given interval a; b. Then the spectral collocation schemes are designed for numerically solving the steady state fractional advection dispersion equation in one and two dimensions. Several numerical examples are computed to testify the efficiency of the numerical schemes and to confirm the exponential convergence.

关键词： Riemann-Liouville fractional integral Riemann-Liouville fractional derivative Caputo fractional derivative Spectral collocation method Differentiation matrix Steady state fractional advection dispersion equation

作者: WenYi Tian Weihua Deng

作者单位: School of Mathematics and Statistics, Lanzhou University, Lanzhou730000, P.R. China School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, P.R. China

会议类型: 国际会议

会议名称: The Fifth Symposium on Fractional Differentiation and Its Applications(第五届国际自动控制联合会分数阶导数及其应用会议)

会议地点: 南京

会议语种:英文

页码: 1-8

在线出版日期: 2012-05-14（万方平台首次上网日期，不代表论文的发表时间）