EconPapers    
Economics at your fingertips  
 

Numerical solution of Volterra–Fredholm integral equations using parameterized pseudospectral integration matrices

Xiaojun Tang

Applied Mathematics and Computation, 2015, vol. 270, issue C, 744-755

Abstract: The main purpose of this work is to provide parameterized pseudospectral integration matrices (PPIMs) for solving Volterra–Fredholm integral equations. We present an exact, efficient, and stable approach for computing PPIMs. Furthermore, we provide a rigorous convergence analysis for the pseudospectral scheme with collocation at the Jacobi-type points in both L∞ and Lω(α,β)2 spaces. Numerical results confirm the spectral rate of convergence for the proposed pseudospectral schemes.

Keywords: Volterra–Fredholm integral equations; Pseudospectral integration matrices; Convergence analysis (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300315011327
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:270:y:2015:i:c:p:744-755

DOI: 10.1016/j.amc.2015.08.076

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().

 
Page updated 2025-03-19
Handle: RePEc:eee:apmaco:v:270:y:2015:i:c:p:744-755