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Deriving System of Algebraic Equations

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Example: Deriving System of Algebraic Equations

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Check Your Understanding

Consider the algebraic equation for mass conservation at the end of the above video. This equation is of the form: Au₁+Bu₂+Cv^₁+Dv₃=E where A,B,C,D,E are constant coefficients. From the explanation in the video, one can deduce that A=B=Δy/2. Denote the width of each cell in the x direction as Δx.

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Conservation is Built into FVM

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Discretization: Overview

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5. Linearization

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