Chebyshev solution for neutral delay differential equations

A method is given for the numerical solution of a class of neutral and advanced delay differential equations, in the form of Chebyshev series. The method can be applied to system of neutral and advanced delay differential equations with single delay as well as with several delay terms. Moreover the...

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Bibliographic Details
Published in:	International journal of computer mathematics Vol. 73; no. 2; pp. 253 - 260
Main Author:	Hussien, M.A.
Format:	Journal Article
Language:	English
Published:	Abingdon Gordon and Breach Science Publishers 01-01-1999 Taylor and Francis
Subjects:	Chebyshev solution delay Difference and functional equations, recurrence relations Exact sciences and technology G.1.7 Mathematical analysis Mathematics Neutral Numerical analysis Numerical analysis. Scientific computation ordinary differential equation Ordinary differential equations Sciences and techniques of general use Special functions Neutral equation Differential equation Initial value problem Tchebychev expansion Numerical method Tchebychev solution Tchebychev séries Delay equation Tchebychev polynomial
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Summary:	A method is given for the numerical solution of a class of neutral and advanced delay differential equations, in the form of Chebyshev series. The method can be applied to system of neutral and advanced delay differential equations with single delay as well as with several delay terms. Moreover the method can be applied to stiff problems of these kinds. Numerical examples are given.
ISSN:	0020-7160 1029-0265
DOI:	10.1080/00207169908804893