Numerical solution of Volterra–Fredholm integral equations by moving least square method and Chebyshev polynomials

In this paper, we use a method based on moving least squares method and Chebyshev polynomials for numerical solution of Volterra–Fredholm integral equations of the second kind. The main advantage of this method is that it does not need a mesh, neither for purposes of interpolation nor for integration. The convergence of the method is investigated, and finally some examples are given to show the applicability of the method.