Jacobi Spectral Galerkin and Iterated Methods for Nonlinear Volterra Integral Equation-Reference-Cited by-同舟云学术

Jacobi Spectral Galerkin and Iterated Methods for Nonlinear Volterra Integral Equation

Published:2016-05-24 Issue:4 Volume:11 Page:
ISSN:1555-1415
Container-title:Journal of Computational and Nonlinear Dynamics
language:en
Short-container-title:

Author:

Yang Yin¹,Chen Yanping²

Affiliation:

1. Department of Mathematics, Xiangtan University, Xiangtan, Hunan 411105, China e-mail:

2. School of Mathematical Sciences, South China Normal University, Guangzhou, Guangdong 510631, China e-mail:

Abstract

In this paper, a Jacobi spectral Galerkin method is developed for nonlinear Volterra integral equations (VIEs) of the second kind. The spectral rate of convergence for the proposed method is established in the L∞-norm and the weighted L2-norm. Global superconvergence properties are discussed by iterated Galerkin methods. Numerical results are presented to demonstrate the effectiveness of the proposed method.

Publisher

ASME International

Subject

Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/computationalnonlinear/article-pdf/doi/10.1115/1.4033439/6109136/cnd_011_04_041027.pdf

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