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Convergence Analysis of the Legendre Spectral Collocation Methods for Second Order Volterra Integro-Differential Equations
Published online by Cambridge University Press: 28 May 2015
Abstract
A class of numerical methods is developed for second order Volterra integro-differential equations by using a Legendre spectral approach. We provide a rigorous error analysis for the proposed methods, which shows that the numerical errors decay exponentially in the L∞-norm and L2-norm. Numerical examples illustrate the convergence and effectiveness of the numerical methods.
Keywords
- Type
- Research Article
- Information
- Numerical Mathematics: Theory, Methods and Applications , Volume 4 , Issue 3 , August 2011 , pp. 419 - 438
- Copyright
- Copyright © Global Science Press Limited 2011