Multistep Chebyshev collocation method for solving delay Volterra integral equations, By Mehdi Babaei Ghalehjoogh

Research

Title	Multistep Chebyshev collocation method for solving delay Volterra integral equations
Type	Presentation
Keywords	delay integral equation, multistep collocation methods, Lagrange polynomial.
Researchers	Monire Nosrati Sahlan، Maryam Atapour، Mehdi Babaei Ghalehjoogh

Abstract

Main concern of this paper is investigating of the solution of delay Volterra integral equation of the second kind and introducing high order multistep collocation method for solving the delay integral equation. Existence and uniqueness of solution can be proved by fixed point theorems. Lagrange interpolation via Chebyshev-Gauss-Lobatto points are applied for evaluating the unknown integrals. The delay Volterra integral equation reduces to some linear algebraic system. For showing the accuracy and efficiency of the aforementioned method an illustrative example is provided.