Article ID Journal Published Year Pages File Type
470650 Computers & Mathematics with Applications 2011 11 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science (General)
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