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(i) Derive a consistent finite-volume approximation to the equation u2 du du d = (ii) In addition, write down a second-order finite-difference approximation to the

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(i) Derive a consistent finite-volume approximation to the equation u2 du du d = (ii) In addition, write down a second-order finite-difference approximation to the equation. (Note that you don't have to derive the finite-difference approximations to the individual derivative termsjust use centred approximations given in the attached formulae at the end of the exam paper). (i) Derive a consistent finite-volume approximation to the equation u2 du du d = (ii) In addition, write down a second-order finite-difference approximation to the equation. (Note that you don't have to derive the finite-difference approximations to the individual derivative termsjust use centred approximations given in the attached formulae at the end of the exam paper)

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