Two low accuracy methods for stiff systems.

*(English)*Zbl 1024.65053Summary: Two low accuracy explicit one-step methods for stiff ordinary differential equations are extended directly to solve systems of equations. Some defects of the component form of these methods are avoided. To perform these, a new set of vector computations are introduced. Some numerical experiments are presented to show the superiority of the new methods.

##### MSC:

65L06 | Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations |

65L05 | Numerical methods for initial value problems involving ordinary differential equations |

65L20 | Stability and convergence of numerical methods for ordinary differential equations |

34A34 | Nonlinear ordinary differential equations and systems |

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\textit{X.-Y. Wu} and \textit{J.-L. Xia}, Appl. Math. Comput. 123, No. 2, 141--153 (2001; Zbl 1024.65053)

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##### References:

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