On the range of applicability of Bourret approximation
This paper deals with the range of validity of the approximate average solution for the simplified equation of motion. The solution is obtained by means of two different methods: Adomian's decomposition and Bourret's approximation. The formula for the error evaluation is derived and mean square convergence of the solution series is proved. Parametric study shows that Bourret's approximation may lead to quite reasonable results.
mean square convergence of solution series
scientific article; zbMATH DE number 1093057