کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
502582 | 863712 | 2010 | 5 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Approximate solution of the fractional advection–dispersion equation Approximate solution of the fractional advection–dispersion equation](/preview/png/502582.png)
In this paper, we consider practical numerical method to solve a space–time fractional advection–dispersion equation with variable coefficients on a finite domain. The equation is obtained from the standard advection–dispersion equation by replacing the first-order time derivative by the Caputo fractional derivative, and the first-order and second-order space derivatives by the Riemann–Liouville fractional derivative, respectively. Here, a new method for solving this equation is proposed in the reproducing kernel space. The representation of solution is given by the form of series and the n-term approximation solution is obtained by truncating the series. The method is easy to implement and the numerical results show the accuracy of the method.
Journal: Computer Physics Communications - Volume 181, Issue 3, March 2010, Pages 557–561