Efficient Geometric Numerical Methods for Solving Differential Systems

Authors

  • A. Abdi
  • Gholamreza Hojjati* University of Tabriz
  • M. Hosseini Nasab

DOI:

https://doi.org/10.11145/cb.v3i1.603

Abstract

In this paper, we introduce numerical methods to solve differential equations systems for which good qualitative behaviour is essential. To do this, we equip the numerical methods introduced in [1] and [2] to the case that preserve the same qualitative behaviour. The proposed algorithms are efficient to solve special differential equations systems, like Lotka-Volterra problem.

References

[1] A. Abdi, G. Hojjati,В An extension of general linear methods, Numerical Algorithms 57(2), 149--167 (2011).

[2] J.C. Butcher, G. Hojjati,В Second derivative methods with RK stability, Numerical AlgorithmsВ 40(4), 415--429 (2005).

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Published

2016-03-12

Issue

Vol. 3 No. 1 (2016)

Section

Conference Contributions

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