numerical solution of two-dimensional integral equations of the first kind by multi-step methods
چکیده(به انگلیسی؛ چکیدهی فارسی در دسترس نیست)
in this paper, we develop multi-step methods to solve a class of two-dimensional nonlinear volterra integral equations (2d-nvies) of the first kind. here, we convert a 2d-nvie of the first kind to a one-dimensional linear vie of the first kind and then we solve the resulted equation numerically by multi-step methods. we also verify convergence and error analysis of the method. at the end, we give some illustrative examples to show the efficiency and accuracy of the presented method.