A hybrid approach for systems of Volterra integral differential equations

Abstract

In this paper, a hybrid approach consisting of the third order Chebyshev polynomials and block-pulse functions is used for solving systems of Volterra integral differential equations. Applying this approach transforms the system of integral differential equations into a system of algebraic equations. Existence and uniqueness of the solution, for such a system are addressed. Two examples are provided to shows the efficiency and reliability of the utilized approach.