A numeric-analytical method for solving the Cauchy problem for ordinary differential equations
Numerical Analysis
2010-09-02 v1
Abstract
In the paper we offer a functional-discrete method for solving the Cauchy problem for the first order ordinary differential equations (ODEs). This method (FD-method) is in some sense similar to the Adomian Decomposition Method. But it is shown that for some problems FD-method is convergent whereas ADM is divergent. The results presented in the paper can be easily generalized on the case of systems of ODEs.
Cite
@article{arxiv.1009.0058,
title = {A numeric-analytical method for solving the Cauchy problem for ordinary differential equations},
author = {Volodymyr Makarov and Denis Dragunov},
journal= {arXiv preprint arXiv:1009.0058},
year = {2010}
}