Effective numerical computation of p ( x )–Laplace equations in 2D
Adriana Aragón, Julián Fernández Bonder, Diana Rubio · International Journal of Computer Mathematics · 2023
In this article we implement a method for the computation of a nonlinear elliptic problem with nonstandard growth driven by the p(x)−Laplacian 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.