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Stability analysis of Pantograph Equations

Author: LiHui
Tutor: LvWanJin
School: Heilongjiang University
Course: Applied Mathematics
Keywords: delay dierential equations numerical stability numerical solution in?nite lag higher-order derivative method the second derivative method
CLC: O241.8
Type: Master's thesis
Year: 2011
Downloads: 28
Quote: 2
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Abstract


Dealing with numerical stability of higher-order derivative methods with vari-able stepsize is the purpose of the present paper for pantograph equations. It in-troduces an interesting result about the higher-order derivative and the polynomial.It also constructs the one-step second order derivative methods and the one-stephigher-order derivative forms with variable stepsize,and both of the numeric meth-ods are used for pantograph equation. This paper provides a new way to computethe pantograph equations, and shows su?cient conditions for the numeric stabilityof the second order derivative and the higher-order derivative forms with variablestepsize.

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CLC: > Mathematical sciences and chemical > Mathematics > Computational Mathematics > Numerical Analysis > The numerical solution of differential equations, integral equations
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