A note on the use of domain discretization methods in modeling of some phenomena in engineering physics

The paper reviews some application of well-established domain discretization methods (finite difference method-FDM), finite element method-FEM in modeling of magnetohydrodynamics (MHD) phenomena for fusion related research and quantum structures for application in nanodevices. Thus, Grand-Shafranov Equation (GSE) for plasma equilibrium has been solved for some simple excitation forms and the obtained numerical results for the rectangular plasma, have been presented. Furthermore, stationary Schrödinger equation is numerically solved via FDM and FEM, respectively. This paper should be referred as an opener to the numerical modeling in plasma physics and nanotechnology.