Plotting a 3D finition with 1D implicite variable

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Thomas TJOCK-MBAGA 2022-7-18

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https://ww2.mathworks.cn/matlabcentral/answers/1762525-plotting-a-3d-finition-with-1d-implicite-variable

编辑： Torsten 2022-7-18

Hello! I have a 3D advection-dispersion équation as follows: dC/dt = Dx *d^2C/dx^2 + Dy *d^2C/dy^2 + Dz *d^2C/dz^2 - vx *dC/dx - vy *dC/dy - vy *dC/dz -mu*C. When using change of variable e.g. X = a*x + b*y + c*z i obtained a 1D advection-dispersion équation: dC/dt = D *d^2C/dX^2 - V*dC/dX -mu*C. The solution si in the form C(X,t) = exp((V/2D)*X+√V^2 + 4*D*mu)*erfc((X+√ 4*D*mu)/2√D*t).My problème si that i wanted to plot thé concentration C with respect to x, y, ans z for fixes values of other variables. How Can i do or in MATLAB knowing that the solution si expressed in term of X???

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KSSV 2022-7-18

DEfine your variables, write the formula; substitude the variables in the formula and plot.

Torsten 2022-7-18

编辑：Torsten 2022-7-18

I have a 3D advection-dispersion équation as follows: dC/dt = Dx *d^2C/dx^2 + Dy *d^2C/dy^2 + Dz *d^2C/dz^2 - vx *dC/dx - vy *dC/dy - vy *dC/dz -mu*C. When using change of variable e.g. X = a*x + b*y + c*z i obtained a 1D advection-dispersion équation: dC/dt = D *d^2C/dX^2 - V*dC/dX -mu*C.

Many people would be very happy if this worked, but such a magic transformation does not exist. Unfortunately.

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