Lagged diffusivity fixed point iteration for solving steady-state reaction diffusion problems

Abstract

The paper concerns with the computational algorithms for a steady-state reaction diffusion problem. A lagged diffusivity iterative algorithm is proposed for solving resulting system of quasilinear equations from a finite difference discretization. The convergence of the algorithm is discussed and the numerical results show the efficiency of this algorithm.

Keywords:

• nonlinear problems
• lagging diffusivity
• Newton method
• arithmetic mean method

2010 AMS Subject Classifications :

• 65H10
• 65N06
• 65N22

Acknowledgements

The author is very grateful to the anonymous referees for their valuable comments and suggestions, which have improved the paper.

Notes

See, e.g. [p. 141]16.