Numerical solution of integro-differential equations by using rationalized Haar functions method.

Purpose – The purpose of this paper is to develop rationalized Haar functions to approximate the solutions of the integro-differential equations. Design/methodology/approach – Properties of rationalized Haar functions are first presented, and the operational matrix of the product of two rationalized Haar functions vector is utilized to reduce the computation of integro-differential equations to some algebraic equations. Findings – Numerical results support the theoretical results. Originality/value – Presents a method for solving integro-differential equations. [ABSTRACT FROM AUTHOR]