Numerical solution of the nonlinear Fredholm-Volterra- Hammerstein integral equations via Bessel functions

Abstract

In this paper, a collocation method based on the Bessel polynomials is used for the solution of nonlinear Fredholm-Volterra-Hammerstein integral equations (FVHIEs). This method transforms the nonlinear (FVHIEs) into matrix equations with the help of Bessel polynomials of the first kind and collocation points. The matrix equations correspond to a system of nonlinear algebraic equations with the unknown Bessel coefficients. Present results demonstrate the proposed method in comparison with other methods are more accurate, efficient, and reliable.