[a] (1) ('11) (iii) (1") QUESTION 5 Write down the nite difference equation corresponding to the partial differential equation figs 621:, at the grid point {Ih'ij of a rectangular mesh with 41.1" = y = h. Denote Mara 1:1} by um. Hermite the difference equation in [ii into the iteration formula appropriate for Liehmann's R method. Use the superscripts u '._ off\" to show how new values are computed from previous 01185. Derive from the difference equation in (ii) the iteration formula used in the BBB. [successive overrelaxation] method~ with the overrelaxation factor denoted by w. fie\"Tito the difference equation in (i) into the two iteration formulas of the ADJ. (alternating F: k+ Fc+2 directionimplicit] method. Use the superscripts u u. l and it to indicate the order of calculations. Indicate also which equation corresponds to column wise and which to rowwise traverse, assuming that :raxis is horizontal and yaxis is vertical