Consider flow in a thin channel such that the situation can be considered as onedimensional steady convection diffusion with no source. The length of the channel $L=1$ m$.$ Consider two separate cases, $($i$)=2000k\frac{g}{m^3},D=1{10}^{-9}\frac{m^2}{s},u=1\frac{m}{s}$ and $($ii$)=1000k\frac{g}{m^3},D=1{10}^{-3}\frac{m^2}{s},u=1\frac{m}{s}$ where $=$ density, $D=$ Diffusion coefficient and $u=$ velocity. Discuss the suitability of using central difference scheme in the solution of both the cases, given that the dimension of the solution vector for TDMA should not exceed $2000$ with the assumption of uniform grid spacing in the domain.