A Newton-Picard Collocation Method for Periodic Solutions of Delay Differential Equations
نویسندگان
چکیده
منابع مشابه
A Newton-Picard collocation method for periodic solutions of delay differential equations
This paper presents a collocation method with an iterative linear system solver to compute periodic solutions of a system of autonomous delay differential equations (DDEs). We show that the linearized collocation system is equivalent to a discretization of the linearized periodic boundary value problem (BVP). This linear BVP is solved using the Newton-Picard single shooting method ([Int. J. Bif...
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In this paper we investigate collocation methods for the computation of periodic solutions of autonomous delay diierential equations (DDEs). Periodic solutions are found by solving a periodic two-point boundary value problem, which is an innnite-dimensional problem for DDEs, in contrast to the case of ordinary diierential equations. We investigate three collocation methods based on piecewise po...
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ژورنال
عنوان ژورنال: BIT Numerical Mathematics
سال: 2005
ISSN: 0006-3835,1572-9125
DOI: 10.1007/s10543-005-0013-4