Convergence Analysis for Linear Fredholm and Nonlinear Fredholm Hammerstein Integral Equations
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Keywords

Fredholm integral equation
Hammerstein integral equation
Degenerate kernel method
Iterated degenerate kernel method
Legendre polynomials
Convergence rates.

How to Cite

Kant, K. ., Kumar, R. ., & Kumar, B. R. . (2022). Convergence Analysis for Linear Fredholm and Nonlinear Fredholm Hammerstein Integral Equations. Journal of Basic & Applied Sciences, 18, 158–165. Retrieved from https://setpublisher.com/index.php/jbas/article/view/2449

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.

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References

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