Derive an update equation for the convection equation that, Electrical Engineering

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Derive an update equation for the convection equation that

Fourth-order method for convection equation. Consider solving the convection Equation (3.66) with fourth-order accuracy in both time and space. Derive an update equation for the convection equation that uses the RK4 integration in time, and a fourth-order centered difference in space. What is f (y, t) in this case?

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