@misc{Wang_Q._Numerical,
 author={Wang, Q.},
 howpublished={online},
 abstract={In this paper, we consider the blow-up of explicit L1 scheme for time-fractional partial differential equations. Firstly, we discretize the mentioned equation by the explicit L1 scheme and obtain the corresponding matrix form. Secondly, we intro- duce the concept of discrete energy. Based on Nakagawa's criteria, a suitable adaptive time-stepping strategy is given by the discrete energy. Thirdly, with the help of lower discrete energy, the fnite blow-up behaviors of numerical solution are studied. Finally, some numerical examples for verifying the theoretical results are provided.},
 type={Electronic journal},
 title={Numerical Blow-Up Analysis of Explicit L1 Scheme for Time-Fractional Partial Differential Equations},
 keywords={Mathematics},
}