Abstract:
The Cauchy problem for the regular transport equation is considered. Using Richardson’s technique, a difference scheme of improved accuracy order on three embedded grids is constructed for this problem. This scheme converges in the maximum norm with the third order of convergence rate.
Key words:transfer equation, Cauchy problem, standard difference scheme, uniform grid, residual, residual decomposition, monotony of differential and grid problems, Richardson technique, difference scheme, increased order of accuracy, convergence in uniform norm.
