A numerical solution to Klein-Gordon equation with Dirichlet boundary condition

摘要: Klein-Gordon equation arises in relativistic quantum mechanics and field theory, so it is of a great importance for the high energy physicists. In this paper, we establish existence uniqueness solution second part numerical scheme developed based on finite element method. For one space dimensional case, complete algorithm solutions using quadratic interpolation functions constructed. The one-dimensional model formulated over an arbitrary element, applying assembly process elements domain, employing to integrate nonlinear terms solving system equations numerically. Finally obtained results simulation visualized, which shows overflow as expected.