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| I want to study the time evolution of a small perturbation around the static solution of the following Wave Equation $ -\partial_t^2 v(t,r) + \partial_r^2v(t,r) + \frac{2}{r}\partial_r v(t,r) = \frac{\partial V(v)}{\partial v}(t,r) $ for some... |
| I want to solve numerically the following differential equation $$ y''(x) + \frac{3}{x}y'(x) = \frac{d U(y)}{y}\,,\qquad U(y) = \frac{1}{4}y(x)^2(y(x)-1)^2 -\frac{1}{400}y(x)^3 $$ in the region $x\in[0,+\infty]$ with the bounce boundary... |