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Apr
8
comment NDSolve: Normalizing at every step
Er… You mean you need to normalize y at the moment NDSolve gets the solution for the first time point and then solve the y at the next time point with this solution and so on? …Is it still a PDE-solving issue?
Apr
7
revised Help solving a system
deleted 35 characters in body
Apr
7
answered Help solving a system
Apr
7
comment Help solving a system
Clear[r] first and then run your code.
Apr
7
revised BC for transport equation using NDSolve
edited body
Apr
7
revised BC for transport equation using NDSolve
deleted 228 characters in body
Apr
7
comment BC for transport equation using NDSolve
@Spawn1701D Yeah, f[10, t]==0 is still approximate, but I think for numeric solution it's acceptable, since it's hard to find a better BC… For this part I've edited my answer a little.
Apr
7
revised BC for transport equation using NDSolve
added 1185 characters in body
Apr
7
answered BC for transport equation using NDSolve
Apr
7
awarded  Civic Duty
Apr
3
comment How to plot a 3D surface with a simple black and white style?
In fact, Lighting -> {White} is enough.
Mar
28
comment Mathematica envelope for the bottom of a plot, a generic function
This method is good! but… why does the 1.4 standard deviation work? I mean… what's the theoretical basis of this method?
Mar
9
comment Numerically solving an inhomogeneous partial differential equation
Oh, I see, it's symmetric and smooth at $r=0$, right? Now I can understand it both by considering $y$ as a steady state of something like heat distribution and considering the Cartesian form of the equation.
Mar
8
comment Numerically solving an inhomogeneous partial differential equation
Er…why does $\frac{1}{r}y^{(1,0)}(r,z)$ become $y^{(2,0)}(r,z)$ when $r\rightarrow 0$?
Mar
8
revised Solving and plotting ODEs while varying one of the initial conditions
added 23 characters in body
Mar
7
revised Solving and plotting ODEs while varying one of the initial conditions
added 81 characters in body
Mar
7
revised Solving and plotting ODEs while varying one of the initial conditions
deleted 11 characters in body
Mar
7
answered Solving and plotting ODEs while varying one of the initial conditions
Mar
7
comment Solving and plotting ODEs while varying one of the initial conditions
@ruebenko Wow, I think I'd better upgrade to v9 quickly.
Mar
7
comment Solving and plotting ODEs while varying one of the initial conditions
Your equation can be solved analytically, so you can just exchange y[1]==1 with y[1]==z and DSolve the equation and Plot3D[x[t] /. sol, {t, -1, 1}, {z, -1, 1}].