Abstract:
The new effective solution algorithm for parabolic equations on base of discontinuous Galerkin
method is offered, which has convergence and accuracy when using the explicit scheme. Distinctive feature of the offered method is the use of the dual grid for finding a part of the parameters. The research method is exemplified by the initial-boundary problem for two-dimensional heat conduction equation. Ñalculations of two-dimensional modeling problems have shown a good accuracy of offered method.
Keywords:parabolic equations, discontinuous Galerkin methods, ñonvergence and accuracy of the method.