بررسي روش گام - بشكافت روي معادلات ماكسول و معادلات شرودينگرغير خطي تعميم يافته

Analysis of Split Step Method on the Maxwellʹs Equations and Generalized Nonlinear Schrodinger Equations

Split-step processes have been successfully applied to Hamiltonian systems such as nonlinear wave equations. In most cases, the reason for using the split-step processes is that it can be split an ordinary differential equation (ODE) into two ODEs which are easily solved comparing to the original equation. These processes are also applicable to partial differential equations, and the selection of the split operator depends on the problem. In this paper, it is investigated the effect of split-step processes on D3 Maxwell equations and generalized nonlinear Schrodinger equations. It was shown that by using these processes arbitrary order of accuracy in time and space are obtained.