Science and Education Publishing Applied Mathematics and Physics 2 4 2014 06 18 Two Numerical Methods to Solve the Second Order Multi-pantograph Equation with Boundary Conditions 124 127 EN Mahdi Ahmadinia Department Mathematics, University of Qom, Qom, Iran Zeinab Safari AMP2014241 10.12691/amp-2-4-1 2014 04 21 2014 05 28 2014 06 18 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.