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The methods used for solving two dimensional Diffusion problems are similar to those used for one dimensional problems. The general equation for steady diffusion can be easily derived from the general transport equation for property Φ by deleting transient and convective terms
∂ ∂ x + ∂ ∂ y + S = 0 {\displaystyle {\frac {\partial {}}{\partial {}x}}\left+{\frac {\partial {}}{\partial {}y}}\left+S=0}
where, Γ {\displaystyle \Gamma } is the Diffusion coefficient and S {\displaystyle S} is the Source term.
A portion of the two dimensional grid used for Discretization is shown below: