Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
470650 | Computers & Mathematics with Applications | 2011 | 11 Pages |
Abstract
In this paper, we propose the cubic spline collocation method with two parameters for solving delay differential equations (DDEs). Some results of the local truncation error and the convergence of the spline collocation method are given. We also obtain some results of the linear stability and the nonlinear stability of the method for DDEs. In particular, we design an algorithm to obtain the ranges of the two parameters α,βα,β which are necessary for the P-stability of the collocation method. Some illustrative examples successfully verify our theoretical results.
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Hong Su, Shui-Ping Yang, Li-Ping Wen,