Efficiency of Newton’s Iteration of Order 3, in the Numerical Solution by the Shooting Method

Aro Huanacuni A.; Santander Mamani O. · Revista Politecnica (2024) · DOI: 10.33333/rp.vol53n1.07

Resumen

The shooting method is an iterative technique that uses shooting speed to obtain an optimal solution. The purpose of the research is to verify the effectiveness of Newton iterations of order 3 adapted and coupled to RK4, in the shooting method. Numerical experiments were performed with examples using the shooting method in nonlinear ordinary differential equations of order 2, and shooting velocities and errors were obtained in each iteration.The results obtained on final velocities were satisfactory with the iterations NW, NWO3-1, NWO3-2 and NWO3-3 applied to the shooting method and of which, NWO3-2 and NWO3-3 have high accuracy in the experiments performed.

Instituciones: Universidad Nacional del Altiplano