M. Nikarya - Department of Electrical Engineering and Information Technology, Iranian Research Organization for Science and Technology, Tehran, ‎Iran‎.
S. Sarabadan - Department of Mathematics, Faculty of Science, Imam Hossein Comprehensive University, Tehran, ‎Iran‎.

In this paper an improved version of the collocation method is proposed to solve ordinary differential equations with initial conditions. Our proposed algorithm is described by applying it to some well-known IVPs. The results are compared with basic collocation algorithms to show the advantages, applicability and efficiency of the proposed method. Based on numerical results, the proposed algorithm has better accuracy and execution time.

IVP, Collocation Spectral algorithm, CPU time, High accuracy, Bessel functions