Meshless simulations of the two-dimensional fractional-time convectiondiffusionreaction equations
The aim of this work is to propose a numerical approach based on the local weak formulations and finite difference scheme to solve the two-dimensional fractional-time convectiondiffusionreaction equations. The numerical studies on sensitivity analysis to parameter and convergence analysis show that our approach is stable. Moreover, numerical demonstrations are given to show that the weak-form approach is applicable to a wide range of problems; in particular, a forced-subdiffusionconvection equation previously solved by a strong-form approach with weak convection is considered. It is shown that our approach can obtain comparable simulations not only in weak convection but also in convection dominant cases. The simulations to a subdiffusionconvectionreaction equation are also presented.
fractional differential equations meshless local petrovgalerkin moving least-squares geometric time grids memory effect