An Improvement on Collocation Algorithm to Solve Initial Value Problems

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.

کلیدواژه ها:

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