Taylor collocation method and convergence analysis for the Volterra–Fredholm integral equations

摘要

In this paper, the Taylor collocation method is presented for numerically solving the Volterra–Fredholm integral equations in terms of Taylor polynomials. This method transforms the integral equation to a matrix equation via the collocation points. The convergence analysis of the collocation solution on the integral equation is given. The method is computationally attractive, and applications are demonstrated through illustrative examples.