Laguerre-Krall polynomials for nonlinear integral equations of the first kind

In this article, numerical method based on Laguerre-Krall polynomials for solving nonlinear integral equations (NIE) of the first type which is a malignant problem is discussed. This method reduces the operation of solving the problem and turns it into simple systems of obvious algebraic equations that are easily solvable. Four examples were presented to analyze the numerical method, applicability degree and accuracy of the method. Numerical results showed that the accuracy of this method is acceptable and good compared to other methods.