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In this article we implement a method for the computation of a nonlinear elliptic problem with nonstandard growth driven by theLaplacian operator. Our implementation is based in the  decomposition–coordination  method that allows us, via an iterative process, to solve in each step a linear differential equation and a nonlinear algebraic equation. Our code is implemented in  MatLab  in two dimensions and turns out to be extremely efficient from the computational point of view.

Effective numerical computation of p ( x )–Laplace equations in 2D