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摘要
In this article, we proposed a new numerical method to obtain the approximation solution for the time variable fractional order mobile-immobile advection-dispersion model based on reproducing kernel theory and collocation method. The equation is obtained from the standard advection-dispersion equation (ADE) by adding the Coimbra's variable fractional derivative in time of order gamma (x, t) is an element of [0, 1]. In order to solve this kind of equation, we discuss and derive the epsilon-approximate solution in the form of series with easily computable terms in the bivariate spline space. At the same time, the stability and convergence of the approximation are investigated. Finally, numerical examples are provided to show the accuracy and effectiveness.
- 出版日期2017-9
- 单位哈尔滨工业大学
