Evident finite difference scheme for solution of mixed boundary value problem for parabolic differential-difference equation
Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia
AbstractThe solving of mixed boundary value problem for parabolic differential-difference equation by the evident scheme of finite difference method is considered in this article. These problems are interesting because the behavior of their solution in some subregion may depend from its behavior in another subregion. The fact that stability and convergence of the evident scheme for considering problems is arrived if Lax type condition is realized is shown in this article. The factor-method theory is used for convergence proof. These theoretical researches are illustrated by solution graphs that show the specific features of considering problems.