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What is the best numerical method to solve an equation like this: $$\frac{\partial y}{\partial t}=f\left(t,\frac{\partial y}{\partial r}\right)\quad?$$

Can somebody give, at least, a reference?

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    Any numerical analysis book should have a section on partial differential equations. Usually you have written $y$ as a function of $t,r$ and you will have to add something about $\frac{\partial y}{\partial r}$ to get a solution.2011-09-23

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