Frontiers of Mathematics in China >
Spectral methods for pantograph-type differential and integral equations with multiple delays
Received date: 28 Apr 2008
Accepted date: 19 Nov 2008
Published date: 05 Mar 2009
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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.
Ishtiaq ALI , Hermann BRUNNER , Tao TANG . Spectral methods for pantograph-type differential and integral equations with multiple delays[J]. Frontiers of Mathematics in China, 2009 , 4(1) : 49 -61 . DOI: 10.1007/s11464-009-0010-z
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