Propagator Method for Numerical Solution of Convective Fisher Equation

Abstract:

Propagator numerical method was developed as an effective tool for modeling of linear advective dispersive reactive (ADR) processes [1]. In this work implicit propagator difference scheme for Fisher equation with nonlinear convection (convective Fisher equation) is elaborated. Our difference scheme has truncation errors of the second order in space and of the first order in time. Iteration process for implicit difference scheme is proposed by introducing forcing terms in the left and right sides of the difference equation. Convergence and stability criterions for the elaborated implicit propagator difference scheme are obtained.

• Periodical: Advanced Materials Research (Volume 222)
• Pages: 387-390
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.222.387
• Online since: April 2011
• Authors: Daiga Zaime, Janis S. Rimshans, Sharif E. Guseynov
• Keywords: Convergence, Fisher Equation, Numerical Method, Propagator Method, Stability

References

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[4] B.H. Gilding, R. Kersner: Travelling waves in nonlinear diffusion-convection reaction (Birkhauser Verlag, Basel-Boston-Berlin 2004).

DOI: 10.1007/978-3-0348-7964-4_4

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