Generalized runge-kutta methods for dynamical systems

  • Yu, Dong-Won (Department of Mathematics, Chung-Ang University, Seoul 156-756)
  • Published : 1998.02.01

Abstract

A numerical method is proposed for dynamical systems. We utilize the fact that special matrix exponentials can be exactly evaluated by the intrinsic library functions. Numerical examples are given, which show that the relative error s of the proposed method converge to a small constant and that the method faithfully approximates the dynamics of the nonlinear differential equations.

Keywords

References

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