Journal of Applied Mathematics

Numerical Solution of Weakly Singular Integrodifferential Equations on Closed Smooth Contour in Lebesgue Spaces

Feras M. Al Faqih

Full-text: Open access

Abstract

The present paper deals with the justification of solvability conditions and properties of solutions for weakly singular integro-differential equations by collocation and mechanical quadrature methods. The equations are defined on an arbitrary smooth closed contour of the complex plane. Error estimates and convergence for the investigated methods are established in Lebesgue spaces.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 365904, 14 pages.

Dates
First available in Project Euclid: 2 January 2013

Permanent link to this document
https://projecteuclid.org/euclid.jam/1357153523

Digital Object Identifier
doi:10.1155/2012/365904

Mathematical Reviews number (MathSciNet)
MR2984187

Zentralblatt MATH identifier
1251.65173

Citation

Al Faqih, Feras M. Numerical Solution of Weakly Singular Integrodifferential Equations on Closed Smooth Contour in Lebesgue Spaces. J. Appl. Math. 2012 (2012), Article ID 365904, 14 pages. doi:10.1155/2012/365904. https://projecteuclid.org/euclid.jam/1357153523


Export citation