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U.P.B. Sci. Bull., Series A
In this study a numerical method is presented to solve high-order non-linear Volterra-Fredholm integro-differential equations under the mixed conditions. In the proposed method, orthogonal Legendre polynomials and their properties are used to approximate the solution of nonlinear integro-differential equation and reduce it to a nonlinear system of algebraic equations. The accuracy estimation of the method is given and the efficiency of the method is illustrated through some numerical examples.fatcat:7zk3wqtpgjdkrmqgurmwvjrvvq