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Spectral methods for pantograph-type differential and integral equations with multiple delays. (English) Zbl 1396.65107
Summary: We analyze the convergence properties of the spectral method when used to approximate smooth solutions of delay differential or integral equations with two or more vanishing delays. It is shown that for the pantograph-type functional equations the spectral methods yield the familiar exponential order of convergence. Various numerical examples are used to illustrate these results.

MSC:
65L05 Numerical methods for initial value problems
65R20 Numerical methods for integral equations
Software:
RADAR5
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