University of TabrizComputational Methods for Differential Equations2345-39826120180101A novel technique for a class of singular boundary value problems40526813ENMohammad HadiNoori SkandariFaculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, IranMehrdadGhaznaviFaculty of Mathematical Sciences, Shahrood University of Sciences, Shahrood, Iran0000-0002-6274-7076Journal Article20170510In this paper, Lagrange interpolation in Chebyshev-Gauss-Lobatto nodes is used to develop a procedure for finding discrete and continuous approximate solutions of a singular boundary value problem. At first, a continuous time optimization problem related to the original singular boundary value problem is proposed. Then, using the Chebyshev-<br /> Gauss-Lobatto nodes, we convert the continuous time optimization problem to a discrete time optimization problem. By solving the discrete time optimization problem, we find discrete approximations for the solutions of the main singular boundary value problem. Also, by Lagrange interpolation we obtain a continuous approximation for the solution. The efficiency and the reliability of the proposed approach are tested by solving three practical singular boundary value problems.https://cmde.tabrizu.ac.ir/article_6813_989cc111ad88bd05f7c74654f1bbdbe6.pdf