Author/Authors :
Jafri, R. Department of Mathematics - Karaj Branch, Islamic Azad University, Karaj, Iran , Ezzati, R. Department of Mathematics - Karaj Branch, Islamic Azad University, Karaj, Iran , Maleknejad, K. Department of Mathematics - Karaj Branch, Islamic Azad University, Karaj, Iran
Abstract :
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.
Keywords :
Operational matrix of derivative , Block-pulse function , Fredholm integro-differential equation , Hybrid function , Chebyshev polynomial
