eng Science and Education Publishing Applied Mathematics and Physics 2014-06-18 2 4 124 127 10.12691/amp-2-4-1 AMP2014241 article Mahdi Ahmadinia mahdiahmadinia72@gmail.com & m-ahmadinia@qom.ac.ir 1 Zeinab Safari 1 Department Mathematics, University of Qom, Qom, Iran In this article, we present two numerical methods to solve the second order multi-pantograph equation with boundary conditions. The multi-pantograph equation is converted to an integral equation then the integral equation is solved by two projective methods. Some properties of Chebyshev polynomials are employed to prove the convergence analysis of the two proposed methods. Finally, numerical examples also are given to illustrate the efficiency and validity of the two proposed methods. http://pubs.sciepub.com/amp/2/4/1/amp-2-4-1.pdf Multi-pantograph equation Integral equation Chebyshev polynomials