We consider the non-stationary problem on perturbation of a plane liquid crystal layer by electric field created by charges on the capacitor plates. The plates are disposed periodically on upper and lower sides along the liquid crystal layer. When solving the Laplace equation for electric potential in the exterior of the liquid crystal (in vacuum), the method of straight lines is applied. The equation for the potential describing the non-uniform distribution of the dielectric permittivity tensor inside the liquid crystal layer is solved iteratively using the fast Fourier transform. To take into account the singularities of the electric potential caused by a sharp change in boundary conditions at the ends of the capacitor plates, a special solution of the problem with homogeneous boundary conditions is constructed. Gluing the singular solution with the numerical solution, we improve the accuracy of calculating the forces and couple force which are included in the right-hand sides of the governing equations of motion for the liquid crystal.

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