Document Type : Research Paper
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
Faculty of Mathematical Sciences and Computer, Kharazmy University, Tehran, Iran.
Department of Applied Mathematics, Imam Khomeini International University, Qazvin, 34149-16818, Iran.
Based on reproducing kernel theory, an effective numerical technique is proposed for solving second order linear two-point boundary value problems with deviating argument. In this method, reproducing kernels with Chebyshev polynomial form are used (C-RKM). The convergence and an error estimation of the method are discussed. The efficiency and the accuracy of the method is demonstrated on some numerical examples.