Stability and convergence analyses for the domain decomposition finite element/finite difference (FE/FD) method are presented. The developed a semi-discrete element scheme time-dependent Maxwell’s equations. explicit schemes in different settings of spatial constructed algorithm is formulated. Several numerical examples validate rates obtained theoretical studies.

In this paper we investigate a nonlinear evolution model described by the Rosenau-KdV equation. We propose a three-level average implicit finite difference scheme for its numerical solutions and prove that this scheme is stable and convergent in the order of O(τ2 + h2). Furthermore we show the existence and uniqueness of numerical solutions. Comparing the numerical results with other methods in...