Oscillation analysis of numerical solutions in the  θ ‐methods for differential equation of advanced type | Zendy

Gao Jianfang | Zendy; Liu Shimeng | Zendy

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Oscillation analysis of numerical solutions in the θ ‐methods for differential equation of advanced type

Author(s) -

Gao Jianfang,

Liu Shimeng

Publication year - 2015

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.3458

Subject(s) - oscillation (cell signaling) , mathematics , piecewise , numerical analysis , type (biology) , differential equation , mathematical analysis , constant (computer programming) , computer science , ecology , genetics , biology , programming language

The paper deals with the oscillation analysis of numerical solution in the θ ‐methods for differential equations with piecewise constant arguments of advanced type. The conditions of the oscillation for the θ ‐method are obtained. It is proved that the oscillation of the analytic solution is preserved by the θ ‐ method. Some numerical experiments are given. Copyright © 2015 John Wiley & Sons, Ltd.

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