Volume 11, Issue 2
Convergence Analysis of Legendre-Collocation Spectral Methods for Second Order Volterra Integro-Differential Equation with Delay

Weishan Zheng, Yanping Chen & Yunqing Huang

Adv. Appl. Math. Mech., 11 (2019), pp. 486-500.

Published online: 2019-01

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  • Abstract

In this paper, a Legendre-collocation spectral method is developed for the second order Volterra integro-differential equation with delay. We provide a rigorous error analysis for the proposed method. The spectral rate of convergence for the proposed method is established in both $L^{2}$-norm and $L^{\infty}$-norm. In the end numerical experiment is illustrated to confirm the theoretical analysis.

  • Keywords

Convergence analysis Legendre-spectral method second order Volterra integro-differential equation delay error analysis.

  • AMS Subject Headings

65R20 45E05

  • Copyright

COPYRIGHT: © Global Science Press

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