Abstract: “In this paper we have introduced a computational method for a class of Telegraph Equation change to two-dimensional nonlinear Volterra integral equations, based on the expansion of the solution as a series of Haar functions. Also, by using the Banach fixed point theorem, we get an upper bound for the error of our method. Since our examples in this article are selected from different references, so the numerical results obtained here can be compared with other numerical methods.”

Keywords: Telegraph Equation, two-dimensional nonlinear Volterra integral equations; Rationalized Haar wavelet; Operational matrix; fixed point theorem; error analysis.