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It's my first topic here. :)

In order to solve a PDE numerically, I have reached in a nonlinear system of algebraic equations. Does anyone here know a good method to solve it numerically?

It seems like this:

x_{ij}(t+dt) is proportional to x_{i,j+1}(t), x_{ij}^{2}(t), x_{i,j-1}^{2}(t), x_{i-1,j}(t), x_{i+1,j}(t), etc..

where i and j are 'coordinates' of a 2D grid.

Thank you so much in advance.

Best regards,

César.

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# Nonlinear system of algebraic equations

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