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Physics course of the University of Oxford

Short options paper shared by Parts A and B of the physics course of the University of Oxford

Past exam of the short options paper shared by Parts A and B of the physics course of the University of Oxford

2019

A backward <Euler method> with spatial <second-order central differences> gives
$$
\boxed{\frac{\Phi_j^{n+1}-\Phi_j^n}{\Delta\tau}=\frac{\Phi_{j+1}^{n+1}-2\Phi_j^{n+1}+\Phi_{j-1}^{n+1}}{h^2}-4\pi G\rho_j.}
$$
The source is fixed in pseudo-time; if it were evolving, its evaluation would also need specifying. Each pseudo-time step therefore requires a <linear system> solve rather than a purely local explicit update.

Solution

Past exam of the short options paper shared by Parts A and B of the physics course of the University of Oxford / 2019 / S31 / 2 / d / Solution

Past exam of the short options paper shared by Parts A and B of the physics course of the University of Oxford / 2019 / S31 / 2 / d / Solution

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Past exam of the short options paper shared by Parts A and B of the physics course of the University of Oxford / 2019 / S31 / 2 / d / Solution

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