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Numerical solution for stochastic extended Fisher-Kolmogorov equation

Author

Listed:
  • Sweilam, N.H.
  • ElSakout, D.M.
  • Muttardi, M.M.

Abstract

In this paper, we derived a new compact finite difference scheme in the spatial direction and used the semi-implicit Euler-Maruyama approach in the temporal direction to study a stochastic extended Fisher-Kolmogorov equation with multiplicative noise numerically. Moreover, the analysis of consistency for the stochastic difference scheme was discussed and the stability analysis was proven in the mean square sense and by Fourier analysis. This approach is numerically analyzed to show the effect of random fluctuations occurring in nature and missing from the deterministic version of the equation and this illustrated in a numerical experiment.

Suggested Citation

  • Sweilam, N.H. & ElSakout, D.M. & Muttardi, M.M., 2021. "Numerical solution for stochastic extended Fisher-Kolmogorov equation," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    • Handle: RePEc:eee:chsofr:v:151:y:2021:i:c:s0960077921005671
    DOI: 10.1016/j.chaos.2021.111213
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    1. Asma Farooqi & Riaz Ahmad & Rashada Farooqi & Sayer O. Alharbi & Dumitru Baleanu & Muhammad Rafiq & Ilyas Khan & M. O. Ahmad & Hijaz Ahmad, 2020. "An Accurate Predictor-Corrector-Type Nonstandard Finite Difference Scheme for an SEIR Epidemic Model," Journal of Mathematics, Hindawi, vol. 2020, pages 1-18, December.
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