Department of Mathematics
Spectral methods for pantograph-type differential and integral equations with multiple delays
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. © 2009 Higher Education Press and Springer-Verlag GmbH.
Convergence analysis, Delay differential equation, Legendre spectral method, Multiple vanishing delays, Volterra functional integral equation
Source Publication Title
Frontiers Of Mathematics In China
Springer with Higher Education Press
Ali, Ishtiaq, Hermann Brunner, and Tao Tang. "Spectral methods for pantograph-type differential and integral equations with multiple delays." Frontiers Of Mathematics In China 4.1 (2009): 49-61.