Effective numerical computation of p(x)–Laplace equations in 2D.
- Resource Type
- Article
- Authors
- Aragón, Adriana; Fernández Bonder, Julián; Rubio, Diana
- Source
- International Journal of Computer Mathematics. Nov2023, Vol. 100 Issue 11, p2111-2123. 13p.
- Subject
- *LINEAR differential equations
*ALGEBRAIC equations
*NONLINEAR differential equations
*NONLINEAR equations
*EQUATIONS
- Language
- ISSN
- 0020-7160
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. [ABSTRACT FROM AUTHOR]