Answer by Max for Finding numerical solution for nonlinear Poisson-like...
Since it is a non-linear differential equation you cannot expect to obtain a linear system at the end. Think about using a non-linear solver like a Newton solver instead.
View ArticleFinding numerical solution for nonlinear Poisson-like equation using finite...
I am trying to use finite difference method to solve for $u(x,t)$ in the equation:\begin{align}\frac{\partial^2u}{\partial x^2} = \frac{au}{1+bu},\end{align}which is actually part of a system of PDEs....
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