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Convergence and stability analysis of an explicit finite difference method for 2-dimensional reaction-diffusion equations

  • Li N
  • Steiner J
  • Tang S
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics (1994) 36(2) 234-241
DOI: 10.1017/s0334270000010377
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Abstract

The convergence and stability analysis of a simple explicit finite difference method is studied in this paper. Conditional convergence and stability theorems for this method are given. We have also proved that this scheme is stable in a much stronger sense.

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Li, N., Steiner, J., & Tang, S. (1994). Convergence and stability analysis of an explicit finite difference method for 2-dimensional reaction-diffusion equations. The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 36(2), 234–241. https://doi.org/10.1017/s0334270000010377

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