A Spectral Method for Second Order Volterra Integro-Differential Equation with Pantograph Delay-Reference-Cited by-同舟云学术

A Spectral Method for Second Order Volterra Integro-Differential Equation with Pantograph Delay

Published:2013-04 Issue:2 Volume:5 Page:131-145
ISSN:2070-0733
Container-title:Advances in Applied Mathematics and Mechanics
language:en
Short-container-title:Adv Appl Math Mech

Author:

Zheng Weishan,Chen Yanping

Abstract

AbstractIn 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.

Publisher

Global Science Press

Subject

Applied Mathematics,Mechanical Engineering

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