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In this paper, a low order triangular nonconforming mixed finite element 1 0 0 ( ) P P P + × scheme was studied for the nonlinear integro-differential equations of pseudo-hyperbolic type. By utilizing the properties of the interpolation, mean-value and derivative delivery techniques, the corresponding convergence analysis, the optimal error estimates of the original variable in -norm and intermediate variable P in 2 L -norm are obtained. Keywords-nonlinear pseudo-hyperbolic integro-differential equation; triangular nonconforming finite element; new mixed finite element scheme; optimal error estimate.

A Low Order Nonconforming Mixed Finite Element Scheme for Nonlinear Integro differential Equations of Pseudo-hyperbolic Type