Volume 5, Issue 2
A Spectral Method for Second Order Volterra Integro-Differential Equation with Pantograph Delay

Weishan Zheng and Yanping Chen

10.4208/aamm.12-m1209

Adv. Appl. Math. Mech., 5 (2013), pp. 131-145.

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  • Abstract

In this paper, a Legendre-collocation spectral method is developed for the second order Volterra integro-differential equation with pantograph delay. We provide a rigorous error analysis for the proposed method. The spectral rate of convergence for the proposed method is established in both L2-norm and L-norm.

  • History

Published online: 2013-05

  • AMS Subject Headings

65R20, 34K28

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