Advanced search
Publication Cover
Mathematical Modelling and Analysis Volume 14, 2009 - Issue 1
Journal homepage
406
Views
23
CrossRef citations to date
0
Altmetric
Original Articles

Numerical solution of Volterra integral equations with weakly singular kernels which may have a boundary singularity

M. Kolk Institute of Mathematics, University of Tartu, J. Liivi 2, Tartu, 50409, Estonia E-mail: [email protected]
&
A. Pedas Institute of Mathematics, University of Tartu, J. Liivi 2, Tartu, 50409, Estonia E-mail: [email protected]
Pages 79-89 | Received 30 Oct 2008, Published online: 14 Oct 2010
 
Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days

Abstract

We propose a piecewise polynomial collocation method for solving linear Volterra integral equations of the second kind with kernels which, in addition to a weak diagonal singularity, may have a weak boundary singularity. Global convergence estimates are derived and a collection of numerical results is given.

Notes

This work was supported by EstSF grant No. 7353

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related Research Data

On the stability of piecewise polynomial collocation methods for solving weakly singular integral equations of the second kind
Source: Vilnius Gediminas Technical University
The Numerical Solution of Integral Equations of the Second Kind
Source: Cambridge University Press
Smoothing transformation and piecewise polynomial projection methods for weakly singular Fredholm integral equations
Source: American Institute of Mathematical Sciences (AIMS)
Smoothness of solutions of Volterra integral equations with weakly singular kernels
Source: Society for Industrial & Applied Mathematics (SIAM)
Collocation methods for second-kind Volterra integral equations with weakly singular kernels
Source: Cambridge University Press (CUP)
Collocation Methods for Volterra Integral and Related Functional Differential Equations
Source: Cambridge University Press
High order methods for weakly singular integral equations with nonsmooth input functions
Source: American Mathematical Society (AMS)
Multidimensional Weakly Singular Integral Equations
Source: Springer Berlin Heidelberg
Quadratic spline collocation method for weakly singular integral equations and corresponding eigenvalue problem 1
Source: Vilnius Gediminas Technical University
Smoothing Transformation and Piecewise Polynomial Collocation for Weakly Singular Volterra Integral Equations
Source: Springer Science and Business Media LLC
Hybrid collocation methods for Fredholm integral equations with weakly singular kernels
Source: Elsevier BV
A Spline Product Quasi-interpolation Method for Weakly Singular Fredholm Integral Equations
Source: Society for Industrial & Applied Mathematics (SIAM)
A new approach to the numerical solution of weakly singular Volterra integral equations
Source: Elsevier B.V.
Numerical solution of Volterra integral equations with singularities
Source: Springer Science and Business Media LLC

Linking provided by 
Download PDF

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.