Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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COMPUTATIONAL METHOD FOR SINGULARLY PERTURBED PARABOLIC REACTION-DIFFUSION EQUATIONS WITH ROBIN BOUNDARY CONDITIONS

  • Received : 2021.05.01
  • Accepted : 2021.06.02
  • Published : 2022.01.30
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Abstract

In this study, the non-standard finite difference method for the numerical solution of singularly perturbed parabolic reaction-diffusion subject to Robin boundary conditions has presented. To discretize temporal and spatial variables, we use the implicit Euler and non-standard finite difference method on a uniform mesh, respectively. We proved that the proposed scheme shows uniform convergence in time with first-order and in space with second-order irrespective of the perturbation parameter. We compute three numerical examples to confirm the theoretical findings.

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References

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