A Full-Discrete Finite Element Algorithm for a Semilinear Periodic Parabolic Problems

In this paper, we study a full-discrete linear continuous finite element scheme for a class of semi linear parabolic problems with periodic initial condition. At first translating the equations into an equivalent initial-boundary problems, a full-discrete continuous finite element method with interpolated coefficients is introduced. Then choosing spatial interval as two periods and Newton iterative method we propose a revisional technique which can obtains stable numerical solution. Finally from a numerical experiment we show that the present method in this paper is effective.