NUMERICAL SOLUTION OF DELAY INTEGRAL EQUATIONS BY USING BLOCK PULSE FUNCTIONS ARISES IN BIOLOGICAL SCIENCES

Subject Areas : International Journal of Mathematical Modelling & Computations

M. Nouri ¹ , K. Maleknejad ²

1 - Department of Mathematics, South Tehran Branch, Islamic Azad University, Tehran, Iran
2 - Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran

Received: 2016-07-13 Accepted : 2016-07-13 Published : 2016-07-01

Keywords: Block pulse functions, Operational matrix, Integral equations with time delay, Delay operational matrix.Block pulse functions, Delay operational matrix,

Abstract :

This article proposes a direct method for solving three types of integral equations with time delay. By using operational matrix of integration, integral equations can be reduced to a linear lower triangular system which can be directly solved by forward substitution. Numerical examples shows that the proposed scheme have a suitable degree of accuracy.