Pell-Lucas Series Solution for Fredholm Integral Equations of the Second Kind

Lukonde Peter Alpha

Abstract: In this study, a Pell-Lucas series method is introduced to solve Fredholm integral equations of the second kind. The numerical examples show that the proposed method provides highly accurate solutions. Besides, the accuracy of the solutions is checked via the residual error analysis. Finally, the numerical results obtained by using the Pell-Lucas series method are compared in the tables and figures.

Keywords: Pell-Lucas Polynomials and Series, Residual error analysis and Absolute error