Numerical Solution of Nonlinear Second Kind Two‐Dimensional Volterra Integral Equations Using Extrapolation Methods

We consider the numerical solution of a class of two‐dimensional nonlinear Volterra integral equations of the second kind. We start from the results of [1], where solutions of these equations were computed by the Euler and trapezoidal methods, in the linear case, and we extend these methods to nonlinear case. Then we use the Richardson extrapolation to improve the acuracy of the numerical results.