Linear Multistep Methods for Impulsive Differential Equations | Zendy

X. Liu | Zendy; Minghui Song | Zendy; M.Z. Liu | Zendy

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Linear Multistep Methods for Impulsive Differential Equations

Author(s) -

X. Liu,

Minghui Song,

M.Z. Liu

Publication year - 2012

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2012/652928

Subject(s) - convergence (economics) , stability (learning theory) , linear multistep method , computer science , numerical methods for ordinary differential equations , differential equation , numerical stability , mathematics , numerical analysis , algorithm , mathematical analysis , ordinary differential equation , differential algebraic equation , machine learning , economics , economic growth

This paper deals with the convergence and stability of linear multistep methods for impulsive differential equations. Numerical experiments demonstrate that both the mid-point rule and two-step BDF method are of order p=0 when applied to impulsive differential equations. An improved linear multistep method is proposed. Convergence and stability conditions of the improved methods are given in the paper. Numerical experiments are given in the end to illustrate the conclusion

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