Oscillation analysis of numerical solutions in the θ‐methods for differential equation of advanced type |
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| Authors: | Jianfang Gao Shimeng Liu |
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| Institution: | School of Mathematics and Sciences, Harbin Normal University, Harbin, Heilongjiang, China |
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| Abstract: | 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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| Keywords: | numerical solution θ ‐methods oscillation subclass 65L05 65L99 |
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