Solving a variational parabolic equation with the periodic condition by a projection-difference method with the Crank-Nicolson scheme in time
The paper attempts to develop a solution to a smoothly solvable linear vibrational periodic equation with a periodic condition in a separable Hilbert space by an approximate projection- difference method. The Crank-Nicolson scheme in time is used for the convergence of the approximate solution to the initial value problem. Several lemmas and theorems are stated and proved for the error estimates and the solvability of the problem. No numerical example is presented to demonstrate the applicability of the method.
scientific article; zbMATH DE number 6798779