Keywords
Hammerstein integral equation
Degenerate kernel method
Iterated degenerate kernel method
Legendre polynomials
Convergence rates.
How to Cite
Abstract
In this article, we consider the linear Fredholm integral equations and Fredholm-Hammerstein’s integral equations. We propose the Legendre polynomial based degenerate kernel method to solve linear Fredholm and Fredholm-Hammerstein integral equations. We discuss the convergence and error analysis of the proposed method and also obtain the superconvergence results for iterated degenerate kernel method.
References
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