Hashem Saberi Najafi - Department of Applied Mathematics, Ayandegan Institute of Higher Education, Tonekabon, Iran.
Sayed Arsalan Sajjadi - Department of Applied Mathematics and Computer Science‎, ‎Faculty of Mathematical Sciences‎, ‎University of Guilan, Iran.
Hossein Aminikhah - Department of Applied Mathematics and Computer Science‎, ‎Faculty of Mathematical Sciences‎, ‎University of Guilan, Iran.

In this work, we consider a collocation method for solving the pantograph-type Volterra Hammerstein integral equations based on the first kind Chebyshev polynomials. We use the Lagrange interpolating polynomial to approximate the solution. The convergence of the presented method has been analyzed by over estimating for error. Finally, some illustrative examples are given to test the accuracy of the method. The presented method is compared with the Legendre Tau method.

Numerical Solution, Collocation method, Pantograph-type, Volterra Hammerstein integral equations, Convergence analysis