Numerical Solution of Fredholm Integro-Differential Equations By Using Hybrid Function Operational Matrix of ‎Differentiation‎

In this paper‎, ‎first‎, ‎a numerical method is presented for solving a class of linear fredholm integro-differential equation‎. ‎the operational matrix of derivative is obtained by introducing hybrid third kind chebyshev polynomials and block-pulse functions‎. ‎the application of the proposed operational matrix with tau method is then utilized to transform the integro-differential equations to the algebraic equations‎. ‎finally‎, ‎show the efficiency of the proposed method is indicated by some numerical ‎examples.‎