Effects of a Logistic Reaction to Finite Difference Numerical Solutions of the Inviscid Burgers Equation

Authors

  • Sudi Mungkasi Universitas Sanata Dharma

DOI:

https://doi.org/10.24002/ijis.v2i2.3054

Keywords:

finite difference method, Burgers equation, logistic reaction

Abstract

We solve the inviscid Burgers equation involving a logistic reaction. The goal is to investigate the effects of the logistic reaction to numerical solutions of the inviscid Burgers equation. We use standard and nonstandard finite difference methods. Based on our research results, the logistic reaction in the inviscid Burgers equation makes the shock wave propagates faster.

References

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R. E. Mickens, Nonstandard Finite Difference Models of Differential Equations, Singapore: World Scientific, 1994.

R. E. Mickens, “Nonstandard finite difference schemes for differential equations,” Journal of Difference Equations and Applications, vol. 8, pp. 823–847, 2002.

R. E. Mickens, “A nonstandard finite difference scheme for the diffusionless Burgers equation with logistic reaction,” Mathematics and Computers in Simulation, vol. 62, pp. 117–124, 2003.

R. E. Mickens, “A note on exact finite difference schemes for modified Lotka–Volterra differential equations,” Journal of Difference Equations and Applications, vol. 24, pp. 1016–1022, 2018.

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Published

2020-02-26

How to Cite

Mungkasi, S. (2020). Effects of a Logistic Reaction to Finite Difference Numerical Solutions of the Inviscid Burgers Equation. Indonesian Journal of Information Systems, 2(2), 90–94. https://doi.org/10.24002/ijis.v2i2.3054