Numerical Method in Solving Fredholm Integro-differential Equations by Using Hybrid Function Operational Matrix of Derivative

Abstract

A numerical method for solving Fredholm integro-differential equations is introduced. The method is based upon hybrid functions and tau method. A hybrid function operational matrix of derivative is presented. The properties of hybrid of block-pulse functions and Chebyshev polynomials are utilized to reduce the integro-differential equations to the solution of algebraic equations. The efficiency of and accuracy of the proposed method is illustrated by three examples.