摘要：Based on an L1 interpolation operator, a new high-order compact finite volume scheme is derived for the 2D multi-term time fractional sub-diffusion equation. It is shown that the difference scheme is unconditionally convergent and stable in $L_{\infty }$ -norm. The convergence order is $O(\tau ^{2-\alpha } h_{1}^{4} h_{2}^{4})$ , where τ is the temporal step size and $h_{1}$ is the spatial step size in one direction, $h_{2}$ is the spatial step size in another direction. Two numerical examples are implemented, testifying to their efficiency and confirming their convergence order.
