ALGORITHMIC ASPECTS OF SOFTWARE REALIZATION OF THE FD-METHOD FOR THE SOLUTION OF THE NONLINEAR KLEIN-GORDON EQUATION

摘要

We propose explicit and implicit schemes of the functional-discrete method (FD-method) for the solution of the nonlinear Klein-Gordon equation. The algorithm of the proposed FD-method is described and investigated from the viewpoint of its complexity. The explicit and implicit schemes of the FD-method are compared by using a numerical example.