腾讯会议ID:448 946 912
会议链接:https://meeting.tencent.com/s/i4RT1jlbehzR
A new time discretization method for strongly nonlinear parabolic systems is constructed by combining the fully explicit two-step backward difference formula and a second-order stabilization of wave type. The proposed method linearizes and decouples a nonlinear parabolic system at every time level, with second-order consistency error. The convergence of the proposed method is proved by combing energy estimates for evolution equations of parabolic and wave types, and the generating function technique that is popular in studying ordinary differential equations. Several numerical examples are provided to support the theoretical result.