Title of article :
An Improvement on Collocation Algorithm to Solve Initial Value Problems
Author/Authors :
Nikarya, M. Department of Electrical Engineering and Information Technology - Iranian Research Organization for Science and Technology, Tehran, Iran. , Sarabadana, S. Department of Mathematics - Faculty of Science - Imam Hossein Comprehensive University, Tehran, Iran
Abstract :
In this paper an improved version of the collocation method is proposed to solve ordinary dieren-
tial 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 advan-
tages, applicability and eciency of the proposed method. Based on numerical results, the proposed
algorithm has better accuracy and execution time.
Keywords :
IVPs , Spectral methods , Collocation algorithm , CPU time , Accuracy
Journal title :
International Journal of Industrial Mathematics(IJIM)
