Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6422807 | Journal of Computational and Applied Mathematics | 2014 | 14 Pages |
Abstract
In general, it is difficult to use the Newton-Krylov methods to solve the large-scale multi-variable nonequilibrium reaction-diffusion systems. In this paper, by employing two new semi-implicit discretization schemes to construct the preconditioners, the preconditioned Newton-Krylov methods are presented to solve the multidimensional problems. These methods cannot only improve the number of iterations, but also speed up the convergence of solutions. Numerical results are given to illustrate the effectiveness.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Tao Feng, Xijun Yu, Hengbin An, Qin Li, Rongpei Zhang,