A Novel Collocation Method for Numerical Solution of Hypersingular Integral Equation with Singular Right-Hand Function

M. R. Elahi, Y. Mahmoudi, A. Salimi Shamloo, M. Jahangiri Rad and Eugen Radu

Advances in Mathematical Physics, 2023, vol. 2023, 1-7

Abstract: In this study, the Fredholm hypersingular integral equation of the first kind with a singular right-hand function on the interval −1,1 is solved. The discontinuous solution on the domain −1,1 is approximated by a piecewise polynomial, and a collocation method is introduced to evaluate the unknown coefficients. This method, which can be applied to both linear and nonlinear integral equations, is very simple and straightforward. The presented illustrations relate that the results are very accurate compared to the other methods in the literature.

Date: 2023
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://downloads.hindawi.com/journals/amp/2023/5845263.pdf (application/pdf)
http://downloads.hindawi.com/journals/amp/2023/5845263.xml (application/xml)

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:hin:jnlamp:5845263

DOI: 10.1155/2023/5845263

Access Statistics for this article

More articles in Advances in Mathematical Physics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().