Abstract
In this paper, a novel numerical method has been outlined for finding a novel solution to nonlinear Volterra integral (NLVI) equation of second type, besides, two kernel type of this equation. Touchard polynomials (TPs) and to different degrees were used for this purpose. The function of approximation was obtained to derive the technique for solving this type of integral equations. Three numerical examples were provided to demonstrate the importance of the method used and the accuracy of the extracted results. In some examples, the results were compared with those of another method. The MATLAB R2018b program was used to carry out all calculations and generate all graphics. Keywords: Nonlinear Volterra Integral Equation, Numerical Method, Touchard Polynomials, Exact Function, Numerical Solution
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